Learn Hardcore Arabic (Levantine): يمكن نلاقي مقعدين فاضيين.

Here, يمكن gives a sense of possibility. In a sentence like this, it usually means something like maybe, perhaps, or it might be possible that.

So يمكن نلاقي... is roughly the idea of:

Maybe we’ll find...
Maybe we can find...
Perhaps we’ll find...

In everyday Levantine, ممكن is often more common than يمكن, but يمكن is still understood and used.

Why is the verb نلاقي? What person is it?

نلاقي means we find or we may find, depending on context.

The نـ at the beginning is the key part: it marks we in the present/imperfect verb.

So:

لاقي / يلاقي = to find
نلاقي = we find

In this sentence, it does not sound like a plain statement such as we find. Because of يمكن, it carries a meaning like we might find or we may find.

Why isn’t there a separate word for we?

Because Arabic verbs already show the subject.

In English, you need we find. In Arabic, نلاقي already includes the idea of , so is not necessary.