No, it's a built-in spice cabinet. As in, not movable. The door is flush with the wall, then the cabinet goes in by a few inches (it's a shallow cabinet).
It's original to the house and one of the things we really liked, so we won't be messing with it.
That's part of the problem btw, the house was built in the 20's and refrigerators were not yet standard -- it's a perfectly nice kitchen without a fridge, just doesn't really have room for one. And has never been remodeled (some movement of elements, new cabinets etc, but no walls knocked down or anything).
And the basement door does get heavy use, yes.
All of this stuff is probably resolvable, but we're not looking to do the really heavy-duty remodeling (like moving the basement door) that would be necessary. Just looking for a fridge right now.