Normally, no. Only in very rare survival circumstances, and it's an individual judgement call. I think people caught or lost in the wilderness storms sometimes break into cabins, etc., and there may be some justification for that. But don't dare shoot a squirrel, goose or I don't know what in the Adirondack Forest or there will be H**L to pay with the feds and you will face a stiff fine or go to jail. It is better to starve than shoot a squirrel in a national forest. Not.
I am lost (unlikely)/stranded/ cold and starving, in a national forest and all I have to do is shoot a squirrel and they will come take me away and give me three hots and a cot...? HEY! You might have something there.....And I could save on all that survival gear.