I think so.
If I was a pony, dating an alicorn would be like dating a prince in real life. Dating a prince would of course bring me a lot of pride and respect, but also envy. It all, of course, also depends on his personality and goals.
The only thing is that he would live much longer than I would, but who knows? Maybe we would marry and I could be crowned princess. I realize that Shining Armour has been dating Cadence and even had babies with her and hasn't yet became an alicorn prince, but honestly who knows.