As long as you don't remove any of the "wood screw" elements (edit: that is, the screws used in the cam locks), they're perfectly ok to disassemble. They won't

As long as you don't remove any of the "wood screw" elements (edit: that is, the screws used in the cam locks), they're perfectly ok to disassemble. They won't go as flat as the original box, but you can certainly transport them in pieces (with care).