Yes, twist a face 45 degrees and try to spray in there using a tube. (Ideally, it would be better if you could pop an edge out. After a few months of use, that should be easy.) Try to spray the inside surfaces of the cubies that rub against one another. Spraying the core won't help, of course. Be sure to do some twisting soon after spraying so the surfaces do not temporarily weld themselves together. Once the surfaces dry, you should be fine.