Being able to acquire food in a survival situation is more a luxury than a necessity. Water would be a bigger concern, especially in a frigid environment. You may get hungry, but you won't starve. However, you can dehydrate faster in the cold than most people would think.

Staying warm, then hydrated, then perhaps fed ought to be the proper order of things. Somewhere in there we probably ought to include getting rescued or getting ourselves out if that is doable.