Of course it is possible. Pinkel did it. Why couldn't Self. It is not too far fetched to think that men with this much success and ego don't go pounding hot "ladies" when given the chance.
Also, they are both powerful enough to fully do that on their own terms which would allow them to be as careful as they want. Also, Self seems pretty smart. I mean, he planted a BSAH in the NCAA to punish those who ran afoul of the school, but it is too hard to believe that a guy that always works late is banging hot nobodys in Lawrence?