Can I get into Juilliard?

I'm looking into college now and I have been cosidering Juilliard. I wasn't sure exactly what I'm gonna audition with yet, but I think I have my first peace. I've been learning the piano by myself for two years and want to audition with Fur Elise as my first choice. I know that you need to be good for realz to get in, but I think the song above is real good for a first choice, right? I asked my friends and they said I was the most musical person they know (I sing) and they also said I'm really talented and should give it a shot.