It is often possible to resolve your Utah case while living out of state. Like most things though, this depends on your specific circumstances and the nature and level of the charges filed.
Your attorney may be able appear in court on your behalf and represent you, though arrangements to do this must be made beforehand. A judge may allow your attorney to appear on your behalf at all hearings or only some hearings, depending on the nature of the case and the type of hearing involved.
Of course, you always have the right to appear personally in a case where you are being criminally charged. But if a personal court appearance is required, you may be able to appear via video conferencing.
Your attorney can help you determine what options are available and which options may be most effective.