No. Pretreatment of vaccines with Tylenol could actually BLUNT the immune response to the given vaccine. The CDC has released a statement that there are no good studies to support GIVING Tylenol before vaccines. So, I would advise refraining from giving Tylenol.
MMR is one vaccine that patients may get a fever on day 5 after vaccine. So, if a fever occurs after a vaccine, that would be the time to give the Tylenol.