How many times can your car be repossessed?

Answer 1

After it's been repossessed once, it's not your car anymore, so... once?

If it's repossessed and you're able to bring the loan current and redeem the car before it's sold so that you get it back, there's no limitation on the bank repossessing it again should you again fall behind. This could theoretically happen every single month of the loan, though in practice most lenders would insist that you either pay off the loan in full or give up the car on the second or at most third repossession.