Dentist give shots to numb your mouth before they work on your teeth, and they're doctors. I've had a doctor
give me a shot, when I was sick with meningitis back in 1974. I was pretty embarrassed too. The same doctor deaden my back, when he removed a cysts, so sometimes doctors do give shots, but not all the time, usually, that's the nurse's job. He/she just tells the nurse what meds to give, and she carries the order out, so yes, in real life, some doctors do give shots.