Yes, if people keep hearing that something might be false, they will consider it to be false. We see this a lot with Trump, who denies having made statements, even though he's been recorded on video saying them. Because this information can easily be spread through digital social media, but also traditional media, people end up believing what's been repeated over and over, rather than the truth, of course.
On September 26th, 2024. See this statement in context.