Can should your spouse get a job after filing bankruptcy chapter 7 but before the meeting of creditors?
of course you can. One does not inhibit the other. If you filed for bankruptcy as a couple, then the bankruptcy will proceed during the divorce, it just may complicate things. If you filed for bankruptcy as an individual then there should not be too much of an issue because you were only filing for bankruptcy as to your individual debt.
If you are filing for bankruptcy, and you try to cosign -- two things can happen. 1. the lender will turn you down. 2. If the court finds out you have applied for credit the bankruptcy can be stopped. If you mean that the car and loan will be for you during or after the bankruptcy, this still has to be disclosed and again the bankruptcy can be stopped.