Of course.

Whatever doctor or informed source you'll check will tell you so.

Here you have a tiny sample of studies showing how vactination from measels reduced child mortality:

https://www.thelancet.com/journals/lancet/article/PIIS0140-6736(07)60107-X/abstract

And another one about the posible side effects:

https://www.jacionline.org/article/S0091-6749(15)01160-4/fulltext

I would not risk the health of my child on paranoia caused for a legitimate mistrust on the government. These are two separate topics