Yes, absolutely! Even easier if you're female. Lots of variations of body weight exercises are possible.
Back: Sternum Chins, regular chins/pullups, inverted rows, pullovers
Chest: Pushups, Incline Pushups, 1-arm pushups, Dips
Triceps: Diamond pushups (w/ hands placed on eye level), Bodyweight extensions, tricep dips, etc.
Quads: 1-legged squats, Sissy Squats, Lunges, Step-ups, Db Squats
Hamstrings: Glute-ham raise, 1-legged box squats (knee angle close to 90), Stiff Legs, Lunges w/ long strides