اگر ترافیک نباشد، من میتوانم به موقع به جلسه برسم.

Because after اگر (if), Persian very often uses the subjunctive for a possible or uncertain condition, especially when talking about the future.

So:

• اگر ترافیک نیست sounds unnatural here for standard Persian.
• اگر ترافیک نباشد means if there is no traffic / if traffic is not present.

A useful pattern is:

• اگر + subjunctive, ...
• If + [possible condition], ...

Here, باشد is the subjunctive form of بودن (to be), and نباشد is its negative form.

نباشد comes from بودن (to be).

Breakdown:

• نـ = negation, not
• باشد = be / is in the subjunctive
• نباشد = not be

So اگر ترافیک نباشد literally means:

• if traffic not be

Natural English:

• if there is no traffic

In Persian, this is a very normal way to express there is/there isn’t with certain nouns.

Because Persian often uses a modal verb plus a main verb, just like English.

Here:

• می‌توانم = I can
• برسم = (that) I arrive / reach

Together:

• می‌توانم برسم = I can arrive

This is very common in Persian:

• می‌توانم بروم = I can go
• می‌توانم بخوانم = I can read
• می‌توانم ببینم = I can see

So the first verb gives the idea of ability, and the second gives the actual action.

After verbs like توانستن (can / to be able to), the following verb is usually in the subjunctive form.

So:

• می‌توانم برسم = correct
• می‌توانم میرسم = incorrect

This is similar to how English says:

• I can arrive not
• I can am arriving

In Persian, the main verb after می‌توانم takes the subjunctive-style form, which often begins with بـ:

• بروم = go
• بخوانم = read
• برسم = arrive / reach

برسم comes from the verb رسیدن, which means to arrive, to reach.

Breakdown:

• infinitive: رسیدن
• present stem: رس
• subjunctive prefix: بـ
• first person singular ending: ـم

So:

• ب + رس + م = برسم

Meaning:

• that I arrive
• that I reach
• after می‌توانم: I can arrive

Yes, literally it is something like to/on time, but as a whole expression به موقع means:

• on time
• in time
• at the right time

It is a fixed expression, so it is best learned as a chunk:

• به موقع رسیدن = to arrive on time

Examples:

• به موقع آمدم = I came on time
• به موقع برس = arrive on time

So in this sentence:

• به موقع به جلسه برسم = arrive at the meeting on time

Because رسیدن often uses به before the destination.

So:

• به جلسه رسیدن = to arrive at the meeting
• به خانه رسیدن = to arrive home / at home
• به مدرسه رسیدن = to arrive at school

In your sentence:

• به موقع = on time
• به جلسه = to the meeting / at the meeting

So the two به phrases do different jobs:

• به موقع tells when/how
• به جلسه tells where

No, من is optional.

Persian verbs usually show the subject clearly, so می‌توانم already means I can because of the ـم ending.

So both are possible:

• اگر ترافیک نباشد، من می‌توانم به موقع به جلسه برسم.
• اگر ترافیک نباشد، می‌توانم به موقع به جلسه برسم.

The version with من may be used for:

• emphasis
• contrast
• clarity

For example:

• او نمی‌تواند، اما من می‌توانم.
  He can’t, but I can.

A careful pronunciation would be roughly:

• agar terâfik nabâshad, man mitavânam be moghe' be jalse beresam

A few pronunciation notes:

• اگر = agar
• ترافیک = terâfik
• نباشد = nabâshad
• می‌توانم = mitavânam
• به موقع = be moghe'
• جلسه = jalse
• برسم = beresam

In everyday speech, some sounds may get a little lighter or faster, but the above is a good standard pronunciation guide.

The sentence follows a very common Persian structure:

• اگر + condition, main clause

So:

• اگر ترافیک نباشد، = if there is no traffic
• من می‌توانم ... برسم. = I can arrive ...

Inside the main clause, Persian often puts extra phrases before the final main verb:

• من = I
• می‌توانم = can
• به موقع = on time
• به جلسه = to the meeting
• برسم = arrive

So Persian often feels like the important action verb comes late.

Yes. You can also put the main clause first and the if-clause second.

For example:

• من می‌توانم به موقع به جلسه برسم اگر ترافیک نباشد.

This still means:

• I can arrive at the meeting on time if there is no traffic.

However, putting the if-clause first, as in your sentence, is very common and natural.

Persian does not use articles the same way English does.

ترافیک can mean:

• traffic
• the traffic

depending on context.

In this sentence, English naturally says:

• if there is no traffic

Persian simply says:

• اگر ترافیک نباشد

This is normal. Persian often leaves definiteness unstated unless it really needs to be made specific.

The standard modern spelling is:

• می‌توانم

with a half-space after می.

You may also see:

• میتوانم

especially in informal typing, older text formatting, or when people do not use the half-space correctly.

So:

• می‌توانم = preferred standard spelling
• میتوانم = common but less standard

The meaning is the same.

Yes. In casual spoken Persian, people often use more conversational forms.

For example:

• اگه ترافیک نباشه، می‌تونم به موقع به جلسه برسم.

Differences:

• اگر → اگه = casual if
• نباشد → نباشه = spoken/casual
• می‌توانم → می‌تونم = spoken I can

Your original sentence is more standard/written. The colloquial version is more natural in everyday conversation.

Not necessarily. جلسه by itself can mean:

• a meeting
• the meeting

depending on context.

In this sentence, English most naturally says:

• the meeting

because the speaker probably means a specific meeting already known from context.

Persian often leaves that specificity unstated:

• به جلسه برسم = arrive at the meeting

If needed, Persian can make things more specific in other ways, but here the simple noun is perfectly natural.

Yes. Another common expression is سر وقت.

For example:

• به موقع رسیدن
• سر وقت رسیدن

Both can mean to arrive on time, though usage can vary a bit by context.

In your sentence, به موقع is completely natural and standard.

A fairly literal gloss would be:

• اگر = if
• ترافیک = traffic
• نباشد = is not / not be
• من = I
• می‌توانم = can
• به موقع = on time
• به جلسه = to the meeting
• برسم = arrive

So the sentence is roughly:

• If traffic is not there, I can arrive at the meeting on time.

Natural English:

• If there is no traffic, I can get to the meeting on time.
• If there is no traffic, I can arrive at the meeting on time.