Are there any jobs available in the medical field for offenders

I can't find a State where a felon can get a medical license of any sort, including RN. Check with the States you are considering on a one-on-one basis.

"Many states do not have any requirements for phlebotomy personnel.
...
In California, all phlebotomists must be certified by law, and only after completing a state-approved training program and successful examination issued by NHA, AMT, ASCP-BOC, ACA and NCCT." Phlebotomist - Wikipedia, the free encyclopedia (http://en.wikipedia.org/wiki/Phlebotomist)

"Many states do not have any requirements for phlebotomy personnel.
...
In California, all phlebotomists must be certified by law, and only after completing a state-approved training program and successful examination issued by NHA, AMT, ASCP-BOC, ACA and NCCT." Phlebotomist - Wikipedia, the free encyclopedia (http://en.wikipedia.org/wiki/Phlebotomist)

However the facilities do have requirements for phlebotomy personnel, so it may be hard to get a job once you have your certificate.

I do know that any facility that has to be certified by one of the several medicare certification will have rules that no convicted felon can not direct contact with a medicare patient. Not a law, but a certification requirement.
Facilities not certified can not bill medicare.

Can felons work as phlebotomist in Wisconsin.