Sure, used to do it on a regular basis. I did some mountaineering where the absolute minimum was carried. It wasn't in a tin, and the Buck 422 and Craftsman stockman did not save the day but most of the load had to be an Outdoor Research bivy bag and climbing gear. My take on things was to have the stuff needed to avoid being at risk from the elements. I slept in my layers rather than carry a sleeping bag. I carried a water filter, oatmeal, dried fruit, dehydrated soup, jerky, cocoa, Paydays (don't melt

), hard candy, map & compasses (two), folding stick stove, bics, and a few other little goodies.
After about three trips it was pretty clear what was needed and what worked. The 422 shaved small sticks for the stove, stirred the soup and oatmeal (drank from the cup it was heated in), blazed limbs on the approach (pre GPS), cut boughs for a bed, and was carried on the shoulder strap. Blazing was needed only on 3 or 4 routes, though. A pocket knife or belt carry isn't very handy with a hip belt. The stockman was simply to have a second knife. It was minimalist living with heavy work for up to 6 or 7 days and not at all comfortable, but satisfying.
If not for the climbing gear, everything else would have fit in a lumbar pack. Using water tabs and without 10 days' food, a fanny pack would have been enough. Part of the "fun" was learning how to just get by when the objective was the summit(s) rather than comfort and a full belly. The only difference from several weeks would have been food and mental conditioning for the isolation.

Regards, ss.