I honestly don’t know. It is likely that your guidance counselor at your current university could give you good advice. You might want to discuss with him or her your reasons for considering transferring. If you have this discussion, remember that OSU Fisher is very good, and you are not certain to be able to get into anywhere that is stronger by enough to be worth making the change. Thus be polite and reasonable and do not burn any bridges (which is always a good idea).
Also, admissions at other universities might be able to advise you. You might want to ask them if you even need to submit a TOEFL score given that you are a current student at Ohio State.
By the way, there are at least three universities that are “OSU”. I figured this was Ohio State due to the “Fisher” in your first post (and the college of business). Oregon State University for example has a very good DVM program, and there is also Oklahoma State University (home of Cowboys Football).