Due to criminal or arrest history? Or due to how you answered the questions in the PHQ (personal history questionnaire)? Either way, I am pretty sure you are not banned for five years unless you actually fail a drug/alcohol test. However, if you apply to another nuke plant they will know about your previous attempt and chances are you will not get in. It is possible that you can fix the damage somehow, it would depend. It could be worth pursuing.
You did not say what your occupation is/was, but DOE sites are still a possible work option. Your life is not over and there are still plenty of places to work.