Is it normal to move while stuttering?

Is it normal to move while stuttering? I know it sounds weird if I'm the only one who does this but whenever I'm stuttering badly or sometimes even a bit, I move a lot and it becomes very noticable. Things like moving my head and kicking my legs violently. I'm not sure if this is a habit thing or turrets or something but it gets very annoying and discourages me from talking to strangers even more. Anyone else do this???