אם תרצי, אפשר להיפגש אצלי אחרי העבודה ולשתות קפה.

Because the speaker is addressing one woman.

תרצי is the 2nd person feminine singular future form of לרצות (to want).

Relevant forms:

• אם תרצה = if you want (to one man)
• אם תרצי = if you want (to one woman)
• אם תרצו = if you want (to more than one person, or formal/plural)

So this sentence is specifically being said to a female listener.

This is very common in Hebrew.

After אם (if), Hebrew often uses the future tense to talk about a real possibility:

• אם תרצי = literally if you will want
• natural English: if you want / if you’d like

So even though the verb is future in form, the meaning is often more like an open, polite condition in English.

A more direct alternative would be:

• אם את רוצה = if you want

But אם תרצי sounds very natural and a bit smoother or more polite in this kind of invitation.

אפשר literally means it’s possible or it is possible to.

In everyday Hebrew, it is very often used as an impersonal way to say:

• you can
• we can
• one can
• it’s possible to

So here:

• אפשר להיפגש... ולשתות קפה means
• we can meet... and drink coffee or
• it’s possible to meet... and drink coffee

English usually wants a subject like we, but Hebrew often does not need one here.

Because Hebrew often leaves the subject unstated when it is obvious from context.

In this sentence, אפשר creates an impersonal structure, so the idea of we can is understood without saying אנחנו.

Compare:

• אפשר להיפגש אצלי = we can meet at my place / it’s possible to meet at my place
• אנחנו יכולים להיפגש אצלי = we can meet at my place

Both are grammatical, but אפשר sounds a little lighter, less direct, and very natural in conversation.

להיפגש means to meet up / to meet each other.

It comes from the verb נפגש in the hitpa’el pattern, which often gives a reflexive or reciprocal meaning.

That matters here:

• לפגוש מישהו = to meet someone
• להיפגש עם מישהו or simply להיפגש = to meet up with someone / to meet each other

In this sentence, two people are arranging a meeting together, so להיפגש is the natural choice.

Because it follows אפשר.

After אפשר, Hebrew normally uses an infinitive:

• אפשר ללכת = it’s possible to go / we can go
• אפשר לדבר = it’s possible to talk / we can talk
• אפשר להיפגש = it’s possible to meet / we can meet

So אפשר + infinitive is a very common pattern.

אצלי usually means at my place or with me, depending on context.

It is built from:

• אצל = at someone’s place / with someone
• -י = my

So:

• אצלי = at my place
• אצלך = at your place
• אצלו = at his place
• אצלה = at her place

In this sentence, אצלי most naturally means at my place, probably at my home.

Not always.

אצל basically points to a person’s place or sphere, so the exact meaning depends on context.

It can mean:

• at my house / at my place
• with me
• sometimes in my office / at my clinic / where I am based

In this sentence, because it is followed by after work and drink coffee, most learners would understand אצלי as at my place, probably at home.

Because Hebrew often uses the definite article ה־ in expressions like this when referring to the known, expected activity of the day.

So:

• אחרי העבודה = after work

This sounds natural, like English after work.

Without ה־, אחרי עבודה is less natural in this context. It can sound more general or incomplete. In ordinary speech, אחרי העבודה is the standard phrasing.

Because it is still part of what אפשר governs.

The structure is:

• אפשר להיפגש... ולשתות קפה

That is, it’s possible to meet... and to drink coffee.

Hebrew does not need to repeat אפשר before the second verb. Once the pattern is set up, another infinitive can simply be added with ו־ (and).

So:

• להיפגש = to meet
• ולשתות = and to drink

A fairly close breakdown is:

• אם = if
• תרצי = you want / you’d like (to a woman)
• אפשר = it’s possible / we can
• להיפגש = to meet up
• אצלי = at my place
• אחרי העבודה = after work
• ולשתות קפה = and drink coffee

A very literal English version would be:

If you want, it’s possible to meet at my place after work and drink coffee.

Natural English would usually be:

If you want / If you’d like, we can meet at my place after work and have some coffee.

It is casual and polite.

Two things soften it:

• אם תרצי = if you’d like
• אפשר = we can / it’s possible to

That makes the invitation sound less forceful.

At the same time, אצלי (at my place) makes it more personal. Depending on the relationship between the speakers, that can feel:

• completely normal and friendly
• warm and informal
• sometimes a little more intimate than meeting in a café

So grammatically it is neutral and natural, but socially the phrase at my place can carry extra nuance depending on context.