Yes, the study of electromagnetism is part of physics. Electromagnetism is the one of the four fundamental forces of nature studied in physics. The other three are gravitation, nuclear strong force, and electroweak force. Electromagnetism studies the phenomena that involves electrically charged bodies. It was long believed that magnetism and electricity were different phenomena until the 1900s when Einstein's special theory of relativity established that they are different sides of the same coin.