Wij kunnen vanavond ook niet uitgaan.

Yes. Wij and we both mean we.

• we is more common in everyday speech.
• wij is a bit more formal, or it can sound more emphatic.

So these are both possible:

• Wij kunnen vanavond ook niet uitgaan.
• We kunnen vanavond ook niet uitgaan.

In many contexts, the difference is small.

In a normal Dutch main clause, the finite verb usually comes in second position. This is a core Dutch word-order rule.

Here, kunnen is the finite verb because it is the conjugated form that matches the subject wij.

So the structure is:

• Wij = subject
• kunnen = finite verb
• vanavond ook niet uitgaan = the rest of the clause

This same pattern appears in many Dutch sentences:

• Ik kom morgen.
• Zij wil koffie.
• Wij kunnen vanavond ook niet uitgaan.

Because kunnen is a modal verb. With modal verbs in Dutch, the other verb usually goes to the end of the clause in the infinitive.

So:

• kunnen = can / be able to
• uitgaan = to go out

This is very similar to other Dutch sentences with modals:

• Ik kan niet komen.
• Wij willen vroeg vertrekken.
• Zij moeten werken.

So in your sentence, uitgaan goes at the end because it depends on kunnen.

Good question. Uitgaan is a separable verb: uit + gaan.

But separable verbs do not always split.

They usually split when the verb is finite in a main clause:

• Wij gaan vanavond niet uit.

Here, gaan is the finite verb, so uit separates and moves later in the clause.

But when the verb is in the infinitive, as it is after a modal verb, it usually stays together:

• Wij kunnen vanavond niet uitgaan.

So:

• finite form in main clause → often split: gaat ... uit
• infinitive → stays together: uitgaan

Ook niet often means not ... either.

So if something else was already impossible or untrue, this sentence adds another negative statement.

For example:

• Gisteren konden we niet uitgaan. Wij kunnen vanavond ook niet uitgaan. = We couldn’t go out yesterday. We can’t go out tonight either.

So:

• ook = also / too
• niet = not

Together, ook niet often works like English either in negative sentences.

If you say only niet, you are simply negating the sentence:

• Wij kunnen vanavond niet uitgaan. = We can’t go out tonight.

If you say ook niet, you add the idea of also not / not either:

• Wij kunnen vanavond ook niet uitgaan. = We can’t go out tonight either.

So ook adds extra context. It connects this sentence to something previously mentioned.

Dutch uses niet to negate:

• verbs
• adjectives
• adverbs
• whole clauses
• definite nouns

Dutch uses geen mainly to negate indefinite nouns.

Here, you are negating the action uitgaan, so you need niet:

• Wij kunnen vanavond niet uitgaan.

Compare:

• Wij hebben geen auto.
  Here geen negates auto, an indefinite noun.

So in your sentence, geen would be wrong.

Yes, it can move. Vanavond is a time expression, and Dutch is fairly flexible with adverb placement, though some orders sound more natural than others.

Your sentence is completely natural:

• Wij kunnen vanavond ook niet uitgaan.

You can also say:

• Vanavond kunnen wij ook niet uitgaan.
• Wij kunnen ook vanavond niet uitgaan.

These versions may shift the emphasis slightly:

• Vanavond at the front emphasizes tonight
• ook before vanavond can emphasize that tonight too is included

But the original sentence is a very normal, natural word order.

Because Dutch still wants the finite verb in second position.

So if you start with vanavond, that counts as the first element. Then the verb must come next:

• Vanavond kunnen wij ook niet uitgaan.

Notice that the subject wij now comes after the verb. This is called inversion.

Compare:

• Wij kunnen vanavond ook niet uitgaan.
• Vanavond kunnen wij ook niet uitgaan.

Both are correct. The second one simply starts with a different element.

Not always. Uitgaan can have several meanings depending on context. Common ones include:

• to go out socially
• to go out somewhere for the evening
• in some contexts, to assume or to be based on
  
  • Ik ga uit van jouw informatie.
• in relationship contexts, met iemand uitgaan can mean to date someone

In your sentence, because of vanavond, the natural meaning is the social one: going out tonight.

A few helpful points:

• wij sounds roughly like English why, but shorter and more Dutch.
• kunnen is often pronounced with a weak second syllable: roughly KUN-uh(n).
• vanavond has the stress on -avond: roughly van-a-VONT.
• ook has a long oo sound.
• niet has a long ie sound, like neet but not exactly English.
• uitgaan begins with uit, which can be tricky; it is somewhat like owt but with a Dutch vowel quality.
• The g in gaan is the Dutch guttural g, not the English g in go.

In natural speech, wij is often replaced by we, which is easier to say:

• We kunnen vanavond ook niet uitgaan.

Yes, but then the structure is different.

• Wij kunnen vanavond ook niet uitgaan.
  This uses the modal verb kunnen.

• Wij gaan vanavond ook niet uit.
  This uses gaan as the main finite verb, and because uitgaan is separable, it splits into gaan ... uit.

Both can be natural, but they are not exactly the same grammatically:

• kunnen uitgaan = be able to go out
• gaan uit = go out

So the first focuses more on ability/possibility, while the second is more direct.

Yes, completely. It sounds normal and idiomatic.

A native speaker might also very naturally say:

• We kunnen vanavond ook niet uitgaan.

That version is a bit more conversational because we is very common in speech. But your original sentence is fully correct and natural.