If he had promoted the vaccines - and got his in a high-profile way - it would have gone a long way to convincing many, many people. Not all of them, mind you, but many.
The highest correlates remain low education and Republican party ID. And there is of course a helluva lot of overlap there.
Link: https://www.kff.org/coronavirus-covid-19/poll-finding/kff-covid-19-vaccine-monitor-profile-of-the-unvaccinated/