It would be very atypical. If you're currently on a J-1, you'd need a J waiver and won't qualify for an O. If you're on an H1b, you might as well continue on your H1b and get a GC that way. Even if you're on a J2 (meaning your spouse is on a J1), you're still subject to the HRR. So why would you want to explore an O visa? Only reason I could see is if an employer wasn't willing to sponsor an H, but then they are probably unlikely to sponsor an O either.
Sorry I can't help, but trying to see the reason why you would be interested.
Edit: I did think of a reason. You could be on an H and be out of H time.