Find the nearest Urgent Care center to you in the State of Wyoming Find Urgent Care is a national database of urgent care and walk-in medical centers. We help healthcare consumers and families like you locate the nearest Urgent Care medical center, whether you are at home in Wyoming or anywhere throughout the country. Urgent Care Center City State Urgent Care Now Casper WY ExpressCare Clinic Powell WY West Park Hospital Urgent Care Clinic Cody WY