Yes, he is a tragic hero in the sense that, the opposing views he tends to upholds drives him to commit most the actions he did, most expecially with the assassination of Caesar.
As someone, who was raised as a stoic, he never followed the teachings but rather was skirming on how to make rome better. His outrage on learning that Caesar has decalared himself as perpetual dictator and to be made a god (Deified) was what actually drove him to plan the assassniation of Caesar. Rather than be praised for killing the man that refused to follow the laid down plan for Rome, his people became enraged with the whole thing leading to him being driven out of Rome.
This action forced him to go to Greece, acquire wealth and launch a war against Rome (ruled by Mark Anthony) inorder to recover it and rule it according to his percieved rules. He died by killing himself after loosing the war to Mark Anthony even though he was later given an honourable burial by Mark Anthony.
