Ja zdążam na spotkanie.

That’s true: in Polish, the verb ending often already tells you who the subject is.
In zdążam, the ending -am means I.

So Ja zdążam na spotkanie and Zdążam na spotkanie are both possible, but they feel slightly different:

• Zdążam na spotkanie = neutral
• Ja zdążam na spotkanie = puts extra emphasis on I

You might use ja for contrast, clarification, or emphasis, for example:

• Ja zdążam na spotkanie, ale on nie.

So ja is not required here, but it is not wrong.

Zdążam is the 1st person singular present tense form of zdążać.

So grammatically it means:

• I am ...
• specifically, I am heading / I am making my way / I am on track to make it

The important part for a learner is the ending:

• -am = I

So once you see zdążam, you already know the subject is I, even without ja.

Not quite.

A more neutral verb for simple movement would be:

• idę = I’m going / I’m walking
• jadę = I’m going by vehicle

zdążam usually adds a stronger sense of:

• moving toward a goal
• having a purpose
• often also a nuance of timing, as in being in time for something

So this verb is less plain than just go. It suggests more than simple movement.

Because Polish often uses na when you go to an event, activity, or occasion.

So you say things like:

• na spotkanie = to a meeting
• na koncert = to a concert
• na lekcję = to a lesson/class
• na obiad = to dinner/lunch

This is different from many physical places, where Polish often uses do, for example:

• do domu = to the house/home
• do biura = to the office

So spotkanie is treated here as an event you are going to, which is why na is natural.

After na with motion toward something, Polish normally uses the accusative case.

So in na spotkanie, spotkanie is in the accusative singular.

Why does it still look the same?
Because spotkanie is a neuter noun, and for many neuter nouns, the nominative and accusative singular have the same form.

So:

• nominative: spotkanie
• accusative: spotkanie

The case has changed grammatically, but the word’s form happens to stay the same.

A useful contrast:

• Idę na spotkanie = I’m going to the meeting
• Jestem na spotkaniu = I’m at the meeting

In the second sentence, spotkaniu is a different case form.

Yes. Zdążam is a present-tense form.

It describes something happening now or in progress. Depending on context, it can sound like:

• I’m heading to the meeting
• I’m making it to the meeting
• I’m on my way to the meeting

If you want a more clearly future idea such as I will make it to the meeting, Polish often uses the related perfective form:

• zdążę na spotkanie

So zdążam is present, while zdążę is commonly used for a completed future result.

Yes, but the meaning changes a bit.

• Idę na spotkanie = I’m going to a meeting
• Jadę na spotkanie = I’m going to a meeting by vehicle
• Zdążam na spotkanie = I’m heading toward the meeting, often with a stronger sense of purpose or timing

So idę/jadę are more neutral movement verbs.
Zdążam is less neutral and can suggest that reaching the meeting matters, not just the fact of going.

Because Polish does not have articles like English a/an/the.

So spotkanie can mean:

• a meeting
• the meeting

The context tells you which meaning is intended.

If Polish speakers want to be more specific, they use other words, for example:

• to spotkanie = this/that meeting
• jakieś spotkanie = some meeting

But in a basic sentence like this, no article is needed.

Yes. Polish word order is fairly flexible.

These versions are all possible, but they differ in emphasis:

• Zdążam na spotkanie. = neutral
• Ja zdążam na spotkanie. = emphasis on I
• Na spotkanie zdążam. = marked, with focus on na spotkanie

Because Polish uses endings to show grammatical relationships, word order is often used more for focus and style than for basic grammar.

So the sentence can be rearranged, but the version with ja at the beginning sounds more emphatic than neutral.