Can the Repo man take my car out of the Garagre at my apartment In the state Of Ohio?

No they may not break the threasholdof the garage if the door is down then they can be arrested for breaking and enetering and burglary. They also may not breach the peace on a voluntary repossesion

After browing the Uniform Commercial Code (UCC) of Ohio, which covers creditors repossosion laws, you're going to have to describe the garage yourcar was in. If the garage has a common entry into the interior of has no walls partitioning off spaces, then the repo man can use the defense that the garage was unsecured which means he did not break into the building. Further the UCC allows that any repossesion is legal as long as it does not breach the peace. SInce you didn't complain during the actual tow away, the repo man didn't do anything wrong. Unless your apartment's garage was a single space with lockable doors, you're going to have a lot to prove it was breaking and entering.

The garage was like a regular home garage meaning, the only way to enter is by pulling up the garage door but it did not have a lock on it.

Sounds like it is not breaking and entering, rather trespassing, only if it is attached. Detatched garages are free reign.