Each life insurance policy has a section that outlines what types of causes of death are excluded from coverage.
But I can not think of any reason that a life insurance policy would refuse payment for death in a hunting accident.
There is no question on the application asking specifically about hunting as an avocation, and if the death was truly accidental, the life insurance policy should pay out on a claim.
You may want to ask your life insurance agent or insurance company to give you a written response as to whether death resulting from a hunting accident is covered by your life insurance policy.