You can only try, right? IIWM, I'd probably go in the morning and jump in the car at 12:15 to go home. That way, he'd get a slightly earlier nap if he fell asleep in the car on the way home and you could try transferring him to his cot when you get home or you'll be home 15mins after he'd normally nap and he'd probably nap ok at home then.
Either way if it doesn't work out well, you can plan to be able to do an early BT that day.
Shifting your thread over to Sleeping for Toddlers.