In an interview aired Thursday on Britain's ITV, one of the photographers involved in the drama alleged the couple's vehicle entourage were to blame for any danger.
"It was very tense trying to keep up with the vehicles," said the photographer, who asked to remain anonymous.
"They did a lot of blocking and there was a lot of different type of maneuvres to stop what was happening. Their driver was making it a catastrophic experience."
He added Harry and Meghan's driver "wanted to drive fast, cut through lanes and do this and do that, go the wrong way."
The episode occurred after Harry, 38, and Meghan, 41, attended an awards ceremony in New York City with Meghan's mother Doria Ragland.
A New York police spokesperson said photographers made the group's transport "challenging," but there were "no reported collisions, summonses, injuries, or arrests".
The York Post quoted a source as saying that there were no emergency calls to police about the incident and that the purported chase "definitely wasn't two hours."
But Chris Sanchez, a member of the couple's security team, told CNN that the pursuit was alarming and dangerous.
"I have never seen, experienced anything like this," he said. "What we were dealing with was very chaotic. The public were in jeopardy at several points. It could have been fatal."
Harry, the younger son of King Charles III, has long had a difficult relationship with the media and in recent years has launched multiple ongoing lawsuits in Britain against outlets alleging privacy breaches.
Prince Harry, over the years, has blamed the media for pursuing his mother, Princess Diana, in Paris, resulting in a fatal crash in 1997.
The couple relocated to North America after quitting royal duties in early 2020, in part citing press intrusion for the decision.