Well, that one's technically up to you, Jay. I'm calculating the stats and such fairly, though I will say that Nevvy dwarfs you in some aspects (especially speed and evasion). So yeah, you stand a chance...albeit a very slim one.
There is, however, a plus to this fight: for every 20 points of "damage" you deal to Nevvy, you'll get 1 bonus AP that you can add to a stat of your choice. If you actually manage to beat her, you'll also get an additional 7 bonus AP, so just because the odds are against you, doesn't mean that you can just slack off and take the pounding.
PS: Expect a sparring "bonus" system similar to this in the sequel RP, which I'm probably going to call "Revenge of the Polygems," or something like that.