Does a defendant have to prove that he was denied due process by a prosecutor who improperly suggested that his girlfriend died of a drug overdose?

Pettaway also argues that he was denied due process because of prosecutorial misconduct. He contends that the prosecutor engaged in misconduct by improperly suggesting that his girlfriend died of a drug overdose, that he was a heroin user, and that people had been murdered in the area where the robbery took place. For prosecutorial misconduct to constitute a denial of due process, it must render the trial fundamentally unfair. Greer v. Miller, 483 U.S. 756, 765-66, 107 S.Ct. 3102, 97 L.Ed.2d 618 (1987).