My car has already be repossed, can I claim this debt under personal bankruptcy rules?

I don't know what "personal bankruptcy rules" are or what you mean by "claim this debt", but if you're asking whether or not a debt owed on a repossessed vehicle is dischargeable in a bankruptcy case, the answer is yes. Mark Markus has been practicing exclusively bankruptcy law in California since 1991.  He is a Certified Specialist in Bankruptcy Law by the State Bar of California Board of Legal Specialization,  AV-Rated by martindale.com, and A+ rated by the Better Business Bureau.