This is a fairly open-ended question. When you say “take over the payments,” what does that mean? If you’re talking about using someone else’s money (such as your parents’) to pay the car loan with your name on it, that’s perfectly fine. Lenders typically don’t care who’s making the payments, as long as they’re on time and in full.
If you mean transferring the loan to someone else, this is also possible. Maybe you want to free up some debt to lower your debt-to-income ratio to make another purchase.