Yes, simply by giving a order to do so. Their intent is most likely to have everyone on the same schedule, much like the administration of semi annual APFT’s. Punishment depends on the specifics of the situation. If you are already in compliance the punishment would most likely be for failing to follow an order. You might want to run this by your local IG office just to get their opinion. There is no need to provide your name or unit to get an opinion.