If you don't mind the outside getting blackened, it should be fine to put on a grate over a small campfire (get a lightweight foldable camping grates). Since the pot itself is aluminum it should be ok on a fire (titanium-only pots can be damaged by high heat), but I haven't done so with this or similar pots. Most people will tell you to use steel pots on a campfire, and if you can afford the weight they are more robust.
I'd be really careful with maneuvering this (and any small packable cookset) on and off the fireplace and with hot food inside. You may want to get an extra pot gripper for safety. (The gripper in this set has a bit of rubber on it so don't leave it on the pot when cooking.)
This should be able to work on a campfire. It would probably be best if you had some type of grate to use.
to help keep it clean rub he outside with liquid soap it makes washing easier