It depends on what type of gap insurance you have. If it was required as part of a lease or auto loan package, then most likely you would not receive a refund. If you purchased a stand alone gap insurance policy on your own, or directly from the dealer, you might be entitled to a refund. Many gap insurance policies offer a full refund within the first 60 days of coverage. After that the policy becomes non-refundable. There are some gap polices that offer a pro-rated refund if the policy is cancelled. Refund requirements vary by policy so read the policy in full before signing.