I did for a while now, I only do bodyweight stuff for my upper body, the basic chin ups, pull ups, dips, push ups, etc. I mainly do bodyweight stuff for legs too, but include some weighted work like db lunges or squats at least once a month.
To be honest I also look better than when I was training with weights, although it maybe simply because I stopped permabulking, lol.
One thing is for sure, when I was weight training I had a lot of nagging pains and small injuries all the time, tendonitis on my elbow, back pain, etc. and they all disappeared once I made the transition to bodyweight training, specially the tendonitis, I had it for a whole year and it wouldn't go away, until I stopped lifting weights and boom a few weeks later its gone.