Actually yes - and no - and yes.
Yes, conservatives said to give Trump credit for vaccines because he wasn't given that. Instead - media made it seem like the vaccines were rushed and shouldn't be trusted, because their narrative of them not going to be ready fell apart.
No, it's not conservatives not taking the vaccine. That's a fallacy in your argument. People not keen on time to market, long term efficacy, ant-vaxxers (mostly new age democrats who live differently), and you can toss in some people who are conspiracy theorists in there too. Anti-Covid vaccine demographics cover all ages and races and the 27 different genders we have.
Yes - liberals were refusing same as conservatives were/are refusing. Anti-Covid vaccine isn't a political item. Hope that clears things up for your biased mind.