It is evident that Shakespeare believed that your fate was set; you couldn't do anything to change your destiny. He illustrated his beliefs through his play, Julius Caesar.
At one point, when the conspirators were doubting if Caesar will even come to the Senate House, Decius assured Cassius that he would able to persuade Caesar to come. Even when Caesar had planned to stay home, his fate took charge and brought him to the Senate House. Despite even the warning from his wife Calphurnia, Caesar, according to his fate, went to his the Senate, to his death.
Also, Brutus had the opportunity to agree to Antony's murder, which might have saved him in the end. Antony would not have been able to give his speech that moved the Romans so greatly.