Your question is like "what height can I expect to clear when getting professional sports training? I currently jump over boulders of height $x." in more than one respect.
First, in the fixation on range as a single factor. Professional singing is not primarily a frequency competition: the problem is not making high/low-pitched noises, but rather sounds that people will actually enjoy hearing, and doing so reliably and repeatedly.
Second, there is absolutely no way to predict what kind of "pitch potential" you are already exploiting and what not, and where your overall potential would be.
The way to find out is to take up training under supervision of somebody who actually knows what he or she is doing.
Like with general sports/fitness, there is a lot one can do on one's own just to get into generally good shape, and like with general sports/fitness this tends to be a rather benign manner of getting into shape up to the moment where one get ambitious and aiming for some kind of personal achievements instead of just doing things while they feel good.
Like angling for highest pitch. That can become a rather destructive endeavor if obsessed with it, particularly without supervision.