No. However, you can continue to submit claims incurred prior to your termination date before the end of the run-out period (defined in your Summary Plan Description).
For example: Your plan has a 90-day run-out period following termination. Your termination date is September 13th. Your physician sees you on September 12th, but you do not receive the Explanation of Benefits from your insurance carrier until October 31st. You can still submit this expense as it was incurred prior to your termination date, and prior to the end of the 90-day run-out period following your date of termination. Any expense incurred after September 13 is not eligible.