I am currently on felony probation and I was wondering if ir is possibible to get my probation transferd out of state.

I was wanting to move from Taylor,Mi and move to Columbia city,In where I have a home lined up and a job.

Ask your defense lawyer and probation officer to help you, if both states will agree, you can, but if one state says no you have to stay, or no, we don't want you here, then you will not be able to transfer or move.

As noted, it is a long process, you have to make a formal request providing them info on where you would stay, job you would do.
Both the state you arer in and the other state has to OK the move.
So in general you will have to apply and hope they do something.

Try this handy link:
https://www.askmehelpdesk.com/criminal-law/how-transfer-probation-115783.html

AND THIS:
https://www.askmehelpdesk.com/criminal-law/announcement-b-u-seeking-legal-advice-read-u-b.html