Yes, actors do get hurt in movies.
Actors can and do get hurt while filming movies, sometimes quite seriously. According to the reference, actors frequently take their cuts, burns, bruises, and broken bones like champs, and will often try to push through if the damage permits. Even those who have been rushed to the hospital and put out of commission in the middle of filming aren't always discouraged by pain. This indicates that injuries, ranging from minor to severe, are a risk in the profession.
