Louise has not damaged walls or ceilings. Mostly because she is strategically placed to not reach them--and my house only has 1 curtain rod that is too low for her to reach the ceiling from, nothing to perch on... but she will shred what ever she can reach, moldings, sliding glass door handles/seals... shoes on the floor... She has lots of toys, a climbing tree. I try to supervise, remove, distract- but some things are the cost of ownership (I have given up on the sliding glass door and the molding on it). She had great fun swinging a pendant light fixture, now it is re-hung so she cannot reach it.
For your bird to get to the ceiling, he/she will need a method to get to it-and a net could provide that method.
-this is similar to her tree. It is placed on a table that she cannot scale down, not close to the wall, and is not so high that she can reach the ceiling.
Again, Louise is a mellow bird. She is fully flighted but only flies to shoulders, the couch, the sink, or her play stand in the other room. I try to keep those areas bird-proofed...
For comparison, her brother that my friend has does not go after ceilings, walls, molding....he does little to no damage anywhere. The macaw they had was a chainsaw and there wasn't anything that wasn't a fun shred toy. Depends on the bird. Since yours is so young, you might be able to train him/her to stay away from areas through reinforcement, distraction. Some folks have had great results with clicker training.