Anythings feasible... what you have to be prepared for is cold temps and possibly snow. Not exactly prime backpacking conditions! You can count on below freezing temps most nights and mornings. The higher you go the worse it will be. That might get real old after just a couple day's, let alone for a week or so. It's definitely doable, just be prepared for the conditions. You might look at drawing a muzzleloader tag if you want to backpack in. It's a good month before the first OTC rifle season so the temps are much more pleasant.