Our first meeting with Elayne shows us that no matter what program of education Morgase planned for her (and I don't know how much I believe in your conjecture), Elayne was quite the truant.

Even with the ultra-prudish Two Rivers women, there are hints that Egwene and Rand had kissed, before they ever left the Two Rivers. I just don't see anything in Elayne's PoV to indicate Rand was the first man she had kissed.