It's the same answer for "I have a day permit for Tuesday, could I hike on Wednesday instead?" or "I don't have a permit at all, can I still hike in the Whitney Zone?"
Sure, absolutely you could. It would be against the rules and if stopped by a ranger you could be fined and made to leave the mountain, but you could make that decision.
Sounds to me like you just messed up when you made your permit reservation. Or you couldn't get one for the day you wanted and you are trying to scoot your way around the issue.
