A tire biter is a man who hangs around women who own fast/show cars/trucks, because he likes to fuck around with them and if they are taken he tries to get them to cheat on their partners.
Normally they like to try their luck with multiple women at once, in the same car club, either ruining friendships in a specific circle of friends or screwing ladies with a specific car. If they have any success, they brag about it afterwards, and accuse the ladies in the car scene of being loose and general being a double standarded sexist prick.
Laura: Have you seen that wanker Ben?
Ashley: Yeah he's been trying to get into the whole club's pants.
Laura: Fuck's sake, he's such a tire biter.
Ashley: Mhmm and then he goes around telling dudes our club are a bunch of sluts. Society is full of double standards. Bloody tire biters!