No: Doing pushups will not stunt your height.

Does push ups affect height?

It almost goes without saying that there's no evidence out that to support push-ups stunting growth in adults. ... You don't have to worry about stunting your growth, but do pay attention to proper form to maximize your results and minimize the risk of injury.

Can push ups help you grow?

Weight lifting is usually associated with building muscle mass, but you can increase your muscle size and strength with calisthenic exercises like push-ups. ... With continued training, your body will begin to develop new muscle fibers, resulting in increased muscle mass.