Umm idk my guess is no I believe it's a national preserve. I've not saw anybody hunt anything besides Morel mushrooms and arrowheads.
You have to apply for permits I'm not sure if this 'preserve' allows hunting. Other public lands and local parks do that are closed to the public access after October or November do allow, but you must apply for permits ahead of time.
My answer would also be no...
Thanks! Your answer is awaiting moderation.