Yes! I'd definitely like to do something like that! Sasame even canonically has a 14-year-old prodigy that has a crush on him (although she's more like Rei than Asuka but hey) so...yeah, this idea really amuses me.

What sort of classes has she been taking? Sasame's a Psychology major with a minor in music, so most of his classes deal with that (although it's possible they've taken a prerec together). He's also Mr. Social Butterfly so even if they haven't shared a class it'd be easy to assume she's at least seen him around somewhere.