You can only get a vehicle registration extension after paying the registration fees. Typically registration extensions are given to vehicle owners having trouble getting through the smog check or need a CHP inspection (or the like), whether financial difficulties or emission problems with the vehicle.
In this case I'm afraid the only way to get a DMV extension for this 2002 Honda Accord will be after paying the registration fee. Also, keep in mind, the DMV is now charging a fee for registration extension.