Firefighters, Police Officers, Correctional Officers, Probation Officers, etc: this question is for you?

The best answer is maybe. It might be possible to get a job. Every agency has different standards. The most important thing is to be upfront and honest when filling out the background paperwork. Explain to the investigator you made some mistakes and how you learned from them. The best thing is to just apply to every opening that is available and see what happens. The worst thing that can happen is you don't get hired.