Having (or not having) a driver's license or valid state-issued ID won't affect your federal or state tax, but may affect your ability to e-file - you won't know for sure until you try to e-file.
If either your state driver's license or state-issued ID has expired, you may still be able to e-file - it all depends on whether the federal and/or state e-filing systems still have your old information in their records.
California is one of the states that requires this information to e-file, so if they don't accept your expired state ID number, you will have to file your return by mail.
