You shouldn’t have a problem even with the asinine new policies in going to your doctor and getting the vaccine “off label”. It might be harder to get in from the pharmacist.
The problem is going to be cost. Your insurance is unlikely to cover it, and it can cost $200 or so.
Yes that sucks in general and I’m aware of that. But unless you are on the border and a close drive to Canada or Mexico that’s still cheaper than going to another country.
But your doctor might refuse.
Very unlikely.
And if a doctor did, I would go to another doctor since that tells me they are a believer in the MAHA bullshit over the guidance of their own professional associations.