Are push-ups and pull-ups good for bodybuilding at the age of 17?
There is nothing to do with age until you are 13+ . You are safe to train for years . Yes Pushups , Pull ups are some of the best upperbody compound movements . Try to include lower body movements too such as Glute Bridges , Squats , Lunges etc . If you want to learn about athletic bodybuilding and look like an athlete , follow Athleanx on YouTube . The guy gives solid info :)
EDIT : Almost forgot include movements like Plank , Bodysaw , Hollow body hold etc for a strong core . Happy Gains,mate.