If I have a criminal background from yrs. ago can I go 2 school 4 criminal justice and get a job after?

I only have 1 felony arrest.I'm 30yrs old and settled down. I was in state's custody and it was a nightmare.I want to help these kids today that most people would rather throw them away than help them.My dream has always been to either be a youth advocate or juvenile probation officer.I know that with my experiences I can help at least one kid.