Is it possible to get measles after the vaccine?

Some do: Measles vaccine is thought to provide lifetime protection for most, but after >20 years of use it was evident that some either did develop protection or it was weakened for some & 2 doses, one at a year or more and one at 4-5 became the routine.Recently, autism fears after fake research led to many cases of measles in immunized kids that were infected by exposure to wild measles in unimmunized kid.

It is not impossible: Vaccines unfortunately are not perfect in their coverage so it is possible to get measles after a vaccine if your body did not hold the protection. However, in most cases the vaccine will hold very well, especially after receiving a booster dose, and your coverage should keep you measles free.