Can you move items from pack into stash?

I have noticed that once you get full on an item you get the notification that your pack is full of said item, and nothing seems to have been done with the item you tried to pick up. When you interact with the stash you can move things from the stash to your pack, but it does not appear that you can move things from your pack to your stash. I would like to build up the village but waiting for items to go to stash day by day (in-game) takes a while, unless you just sit there and sleep repeatedly. Is there a way to move things from your pack to your stash? I could just be overlooking it, or not far enough through the story perhaps.