I'm not certain about the Iowa Department of Public Safety. But I would think that it wouldn't prevent you from ever working for them. It probably depends, in part, on how long ago it was. There are many departments that you allow to try again if you don't do well on the psychological test. You could call them, and ask to speak to a recruiter. You can just ask them the same question. Be honest. They would tell whether or not you would be wasting your time based on your question. I'm sure they receive similar questions on a regular basis.