Define "easily"......
From the floor layout diagram, it appears that the wall behind the toilet is an interior partition. It may or may not have studs in the wall construction. It may or may not be stapled to any studs. If it's stapled, removal and installation after backing will be easier. If it's glued in place, it will be difficult to remove the entire panel without damage to the panel. There may be a way to cut the panel so that backers can be inserted through a hole and then secured.
If there is a stud directly behind the cabinet location, it will make things much easier. A cabinet with a mounting strip can be fastened to the stud and two outboard of center toggle bolts can be installed to keep everything attached. If the cabinet you choose is full height to the ceiling, there is possibility that the cabinet can also be secured to a rafter or through the ceiling panel.
The hanging process depends on anticipated weight of the cabinet and it's contents and how the wall is built. I have pictures of how I built and hung a cabinet in my RV. The cabinet holds the vent hood, a microwave oven, and sundry supplies. If you want to see them, they're on pages 18 &19 in my restoration thread in my signature, "
The Cowboy/Hilton"