One of my old girl friends from several years ago wanted to lease a new saturn. she picked it out, signed the paper work and drove it off the lot. they came back with a similar reason, that her credit wasn't good enough to qualify and she needed a co-signer, and she had to take the car back. So yes, they can.
Car people really need to get all their ducks in a row so things don't happen like this to people. if you can't qualify on your own for a car, they shouldn't make you fill out the paper work, let you drive it off the lot and then make you bring it back.



