Surat izin saya belum keluar, jadi saya belum bisa berangkat.

Yes. Surat literally means letter or document, and izin means permission or permit. Together, surat izin often refers to an official permission document, permit, or approval letter.

In real usage, Indonesian often uses surat for official paperwork, not just personal letters. So surat izin saya can naturally mean my permit or my permission letter.

Because possession in Indonesian usually works like this:

noun + possessor

So:

• surat izin saya = my permit
• buku saya = my book
• rumah saya = my house

This is different from English, where the possessor often comes first.

Belum means not yet, while tidak usually means not.

So:

• Surat izin saya belum keluar = My permit hasn’t been issued yet
• Surat izin saya tidak keluar would sound strange in most contexts, because it suggests it does not come out rather than it hasn’t happened yet

A very important idea for learners:

• belum implies the situation may change later
• tidak does not carry that yet meaning

The same applies in the second clause:

• belum bisa berangkat = can’t leave yet
• tidak bisa berangkat = can’t leave / am unable to leave, often more definite

That is its basic meaning, yes. But in Indonesian, keluar is also commonly used for things like documents, results, decisions, and official papers to mean:

• to come out
• to be issued
• to be released
• to be published

So in this sentence:

Surat izin saya belum keluar
means something like: My permit hasn’t come out yet, which in natural English is My permit hasn’t been issued yet.

This is a very common extension of keluar in real Indonesian.

Not exactly in the grammatical di- passive sense. It is an intransitive verb being used in a natural Indonesian way.

Indonesian often avoids mentioning the agent. Instead of saying who issued the permit, it simply says the permit has not come out yet.

A more explicitly passive version would be:

Surat izin saya belum dikeluarkan.
= My permit hasn’t been issued yet.

That version sounds a bit more formal and focuses more clearly on the act of issuing.

It can mean to become, but in this sentence it does not.

Here, jadi is a connector meaning:

• so
• therefore
• as a result

So:

..., jadi saya belum bisa berangkat.
= ..., so I can’t leave yet.

This is extremely common in everyday Indonesian. Context tells you whether jadi means become or so.

Because each clause can state its own subject, and repeating it is perfectly natural:

Surat izin saya belum keluar, jadi saya belum bisa berangkat.

This is clear and normal Indonesian.

In casual speech, the second saya can sometimes be omitted if the subject is obvious:

Surat izin saya belum keluar, jadi belum bisa berangkat.

That sounds natural too, especially in conversation. But keeping saya makes the sentence clearer for learners and in more careful speech.

Because the two mean different things.

• belum berangkat = haven’t left yet
• belum bisa berangkat = can’t leave yet / am not able to leave yet

The version with bisa adds the idea of ability or possibility. It tells us there is a reason the departure has not happened yet.

So in this sentence, belum bisa berangkat shows that the speaker is unable to depart because the permit has not been issued.

Bisa usually means can, be able to, or be possible to.

So:

• saya bisa berangkat = I can leave
• saya belum bisa berangkat = I can’t leave yet

It often expresses practical possibility, permission, or ability depending on context. Here it is about practical possibility: the speaker is not yet able to depart because the permit is not ready.

Both can relate to going, but they are not exactly the same.

Berangkat usually means:

• to depart
• to set off
• to leave for somewhere

It focuses on the start of a trip or journey.

Pergi is more general:

• to go
• to leave

So in this sentence, berangkat is a good choice because it suggests departure, especially for travel, work, or an official trip.

Examples:

• Saya mau pergi ke toko. = I want to go to the store.
• Saya akan berangkat besok pagi. = I will depart tomorrow morning.

This sentence is natural and common.

Surat izin saya belum keluar, jadi saya belum bisa berangkat.

It sounds everyday and realistic.

More formal alternatives are possible, for example:

• Surat izin saya belum terbit, jadi saya belum bisa berangkat.
• Surat izin saya belum dikeluarkan, jadi saya belum bisa berangkat.

Differences:

• keluar is common and natural in speech
• terbit is often used for documents that are officially issued or published
• dikeluarkan is more explicitly passive and formal

So the original sentence is a good, natural sentence for normal use.