If a mother were talking to the counsellor in school about her son's performance in school, and she suddenly asked 친구 있어요 ?, then she's almost certainly asking "Does he have friends?" and so on. If she happens to not be speaking about her son for whatever reason, she can make that known too by adding an extra word. Point is that it happens only when it needs to.

In English, Pulling up a "Friend Have?" will get a mark of confusion no matter the surrounding context. English doesn't prime you to expect information conveyed in such a manner.

also, i'm not op