Can I Grow Blueberries In Utah?

Sorry.  You cannot.  Blueberry plants have some specific needs that our soil and climate cannot provide.  You can try and there are nurseries that will sell you the blueberry plants and tell you  "yes, you can grow blueberries in Utah".
But you cannot.
Here is an article explaining the science behind why you cannot grow blueberries in Utah from Utah State University.  They don't come right out and say you can't.  But when you read about the lengths to which you would need to go in order to grow blueberries in Utah . . . ya, no.  It's way too involved.
Your time, money, effort and garden space will be put to better use growing things that do well here.  Raspberries, strawberries and blackberries can all be grown in Utah.

raspberries will grow in utah