Yes on his body..They did not beat his face that was not the method of crucifixcion.
“They did not beat his face”
“Now the men who held Jesus mocked Him and beat Him. And having blindfolded Him, they struck Him on the face and asked Him, saying, Prophesy! Who is the one who struck You? And many other things they blasphemously spoke against Him.” (Luke 22:63-65)