They ARE allowed to hunt any game or fish, in any way that they wish. They are given the same "subsistence" permit that the Innuit are given. The contestants (so far) just haven't known how to go about doing such things. Only 8 or so have taken any sort of projectile weapon, 2 of those were worthless slingshots. nobody has hit anything with an arrow, not even a fish. Fowler managed to hit one bird with his slingshot. He didn't know something that I discovered at age 8. No rock flies straight. You have to make baked clay balls for the shots that are not worthy of an arrow. Take a slingbow, so that you've got that option. it's a lot easier to keep a slingbow at hand than it is a regular bow.