Is you and me went to the store correct in a sentence?

John and you went to the store is correct.

Since this web site has the annoying policy of changing "I" to "you" when you ask a question, perhaps you meant to ask whether John and I went to the store is correct.

That is also correct because it is in the subject of the sentence.

The way to check whether John and I or John and meis correct is to remove the Words "John and" from the sentence and then see if I or me is the correct Word.

Correct: I went to the store.

Correct: John and I went to the store.

Correct: Mother sent me to the store.

Correct: Mother sent John and me to the store.

All of the above is correct but a more common form of the sentence would be "You and John went to the store." Start with "you", it is the person you are talking to.