Yes.
One, there are different types of bankruptcy. Odds are even if they do file, it won't be the kind that makes them shut down as a company.
Two, odds are the government would provide enough of a bail-out to prevent a shut-down.
Three, even if the were to shut down as a company, the Government would back the warranties, and it would be a requirement of the bankruptcy that the parts division remain operational so you can still get your car serviced.