Absolutely. I'm not saying it would be easy, because you're not exactly shy about your exploits, but it is possible. You just have to be honest, and dedicated to really proving yourself. It also might take some severe action, meaning drastic drop in flirtation and fraternization, to help your case. Girls are very driven by what they can see. Actions speak louder than words. But with your determination, I have no doubt you could pull it off.
I have to ask, though, is there a specific person in mind for this experiment? Has someone caught your eye, Osiric?