Doubtful. Democrats pushing for vaccines haven't been effective in getting their most reliable voting block, communities of color, to take the vaccine. Trump has been imploring his supporters to take the vaccines but they're the other large group that makes up the unvaccinated. There are groups that blindly follow whatever their partisan leaders tell them but neither party has very good control over their voters when it comes to vaccination. The media certainly would like you to think it's a partisan issue but it's only one if you ignore either of the two largest groups of unvaccinated.