Its not that you cant shoot them (with a gun) on private property, the only laws that would matter are the normal gun laws for your area, if you live out of the city limits and its normally okay to fire a gun on your property then yes, you can shoot a deer. Actually a deer and fuck ton of squirls just dies yesterday at the hands of my buddy and his 303 on his parents 15 acers down south of Circleville. Supposed to head down there now to help butcher it.