Sorry, I do not know for sure. I tried F&G site and also the LM Park website but no info. I would call the ranger station or parks department to be 100%, but right now, the zone in which LM Park falls has permit bow, permit shotgun and permit muzzleloader open.
Technically, hunters are supposed to be firing into areas away from known multi-use trails and only at doe at this time of year (unless they have a buck tag). I would not take my chances; I know there are hunters out there who have some questionable ethics regarding their shot direction and placement. Doe are the target population at the moment as far as management is concerned. With a full moon on the wax deer will be moving mostly in the afternoon/nightime hours.
Morris County Parks phone main #: 973-285-6010 (main number for Freeholders office; ask for parks department or related office for info)