Of course. However, the non-filing borrower (or cosigner) will remain obligated on the account. The Automatic Stay remains in effect for the duration of the chapter 13 plan as to the co-borrower unless the creditor seeks and obtains Relief from the Stay, but once the chapter 13 case is finished the creditor will be free to pursue collection from the party who did not file for bankruptcy.
Answered on Sep 27th, 2013 at 7:29 PM