In theory yeah, but you’re limited to a fraction of the volume that would fit in a log anyway. Dugout canoes weren’t exactly used for cargo capacity after all.
Realistically I think the main things to focus on should be to help the player for just one step above the bare minimum. Stuff that requires little effort to build and just meets the minimum comfort requirements.
I.E. A makeshift table for eating and crafting, made from logs, two short ropes, and heavy sticks, a stool made from a single log for sitting at said table. I recall a desperate thread suggesting a “stump stove” which could work but I’m not familiar with the particulars.
The walls, roof, and door are already covered by the constructions that already exist in game. I could also maybe see a point to be made for a dirt and clay fireplace if it was easier than gathering up 40 rocks.
Primitive food storage can be achieved with a cellar, and everything else you can basically dump on the floor or on the aforementioned makeshift table.