No, pullups (or any exercise) will not affect your height.
Adult height and adolescent height: spurts of growth are just that..spurts. Sometimes at age 12-18 ... the added height occurs in spurts, bunched together. Around about age 16-20 most people reach their full adult height; however, there are always exceptions and some people stop growing at age 15 and other still get taller after age 21, but those are exceptions.
Probably nothing that you're doing will affect your final adult height unless you decide to stop eating or stop eating ANY protein. You aren't doing that, right?
If you have any doubts, see your family dcotor.