Alfador is very discrete, so we have no idea.
At the risk of being prejudiced to felines, I would say probably not. Indeed, his name itself might point to his rather... prolific nature.
Just to add about the virginity thing... as you say, in regards to patriarchy, if you go back to, say, antiquity, the chief cause for this was, of course, the desire to safeguard one's possessions and property. That is, if a patriarch was uncertain about the sexual liasons of his wife, the paternity of his children might be in doubt, and as such the passing on of one's possessions/property to an heir of his blood. In contrast, if a man had multiple relations, there would be no such doubt. As you say, it was an element of the patriarchal society of the old world.
All the same, there are other reasons for it, at least when applied on a personal basis. For example, it can be exemplary of self control (of course, I do understand that there are those that do not favour self control so much as acting in accord with instinct. All the same, it can be a viable stance to hold on a personal basis.) Also, it also can be a desire to keep oneself reserved until a serious and mature emotional bond is formed with someone (after all, sex and love are two seperate things, but each might be said to be better in accord with the other.) That would be my personal stance on that matter.
As for the Crono characters... they're young. It's really difficult to say. Magus, almost certainly, by nature of his character is. He's very tense and self-controlled, and would likely not express himself in that manner. Schala, I think so. Marle, almost certainly, but it's possible she's not - her character is very outgoing and gregarious, after all. Crono is impossible to tell. Frog, by the nature of his character of a knight errant would probably be one. Robo... considering that he has to be taught even such a rudimentary personal thing such as a name, it's very likely, but considering Atropos, it's uncertain. Ayla certainly, most certainly, is not. Lucca... difficult to say. Serge, certainly. Considering how he talks to Leena, I would wager they both are. Kid... I wouldn't think so. Glenn... he is. And so on.
Pierre... he is. He's probably had lots of attempts, and lots of failures. I think a lack of real confidence would hold him back.