There are very few people who can't tolerate the RNA-based coronavirus vaccines. For severely immuno-compromised people, the vaccines may not be effective.[1] People who are going to have their immune systems suppressed for a transplant apparently present some problems, but can be vaccinated before the transplant or weeks afterward.
That's a nice feature of the RNA-based vaccines.
[1] https://www.uchicagomedicine.org/forefront/coronavirus-disea...