Can çok değerlidir.

No. Here Can is almost certainly a Turkish personal name, usually a male name.

A native English speaker might expect can to be the modal verb, but in Turkish Can with a capital C is commonly a name.

It is pronounced roughly like Jahn:

• C in Turkish = j as in jam
• a is like the a in father
• so Can sounds like jan / jahn, not like English can

In Turkish, sentences with a noun or adjective predicate often do not need a separate word for is in the present tense.

So:

• Can çok değerli. = Can is very valuable.

Turkish often leaves the present-tense to be unspoken in this kind of sentence.

In your sentence, the ending -dir is added, which brings in that copular meaning in a more formal or emphatic way:

• Can çok değerlidir.

So English needs is, but Turkish often does not.

-dir is a copular ending. In a sentence like this, it can make the statement sound:

• more formal
• more definite
• more assertive
• sometimes more like a general statement or a statement of fact

So:

• Can çok değerli. = neutral, common in everyday speech
• Can çok değerlidir. = more formal, written, emphatic, or declarative

It still means the same basic thing, but the tone is different.

Because çok modifies the adjective, just like very does in English.

So:

• çok değerli = very valuable

This is the normal order in Turkish:

• çok
  • adjective

Examples:

• çok güzel = very beautiful
• çok önemli = very important
• çok değerli = very valuable

So Can çok değerlidir follows the expected pattern.

It can be broken down like this:

• değerli = valuable
• -dir = formal/emphatic copular ending

So:

• değerli + dir → değerlidir

The base adjective is değerli.

You can also notice vowel harmony here:

• the last vowel in değerli is i
• so the form of the suffix is -dir

That is why it is değerlidir, not değerlidır.

The letter ğ in Turkish is usually not pronounced like a hard g in English.

In değerli, it mainly softens or stretches the sound between the vowels. A simple learner-friendly approximation is:

• de-er-li
• or de-yer-li

So değerlidir is roughly:

• de-er-li-dir / de-yer-li-dir

The important thing is: do not pronounce ğ like the g in go.

Yes. In everyday Turkish, that is actually very common.

You could say:

• Can çok değerli.

This is natural and common in speech.

With -dir:

• Can çok değerlidir.

This sounds more:

• formal
• literary
• emphatic
• like a careful statement or judgment

So both are correct, but they differ in tone.

This is normal Turkish sentence order.

A simple way to understand it is:

• Can = subject
• çok = degree word (very)
• değerlidir = predicate

Turkish often puts the main predicate at the end of the sentence, so this structure is very natural.

Compare:

• English: Can is very valuable
• Turkish: Can very valuable-is

That is not how you would translate it word-for-word in good English, but it helps show why the Turkish order looks different.

Yes. Lowercase can in Turkish can also mean things like:

• life
• soul
• spirit
• dear one

But in this sentence, because it is written with a capital C as Can, it is most naturally understood as a person's name.

So a learner should pay attention to capitalization here.