Can I file for bankruptcy on a car that was crashed with no insurance?

Yes.

In the State of Connecticut, a firm known as Rosenberg & Press, actually made case law regarding this very issue. Yes it is legal for you to file bankruptcy. In the case that my partner and I worked on, the bank brought an adversary proceeding in bankruptcy court under 11 USC 523(a)(6) in an attempt to survive the bankruptcy. They attempted to claim that getting into a car accident without insurance was a willful and malicious tort. (Soucy v. Wyscoki, 139 Conn. 622 (1953). Of course this is absurd, because who willfully gets into an accident?! The deciding case is Kawaahau v. Geiger, 523 U.S. 57, 118 S. Ct. 974, 140 L.Ed.2d 90 (1998) which held that both the act and the injury allegedly inflicted by Defendant upon a Plaintiff must be intentional to be considered willful. This is the standard the majority of bankruptcy courts have adopted. In this case your deficiency on the car is therefore dischargeable in bankruptcy. My case was GMAC v. Jackson in case you wish to know more on this matter.