No. Utah is a closed state; which means that no identifying information from your files can be released without consent from both the adoptee and birthmother. Files will remain closed until 100 years from the date of the adoption have passed.
You can, however, have non-identifying information from your file (physical description, medical information, hobbies, religion, etc.). You can also join the Connections program, where CSS contacts your birth parents or birth child for you and asks if they are willing to share more information or to have contact with you.