If you just chase, not brandishing a weapon, screaming threats or in some other way giving a person being chased reasonable fear for his life, then the person punching is at fault. Running on the street is not a violation of anybody's rights, and you do not have to have any specific "good reason" to run on the street, neither is running while other person is present on the same street. Punching one in the nose, on the other hand, is.