Can I get a dui driving under prescription medication

Yes you can, as long as it's a type of drug you can get a DUI

You can absolutely get an DUI (Driving Under the Influence) or also known as a DWI (Driving While Under the Influence). Influence does not only refer to alcohol. Anything that alters your mind or mental state that you've placed inside of your body can cause you to get a "DUI" or "DWI".