Do I have a shot at Juilliard?

I am a Junior in high school and play trombone. I got into All-State as well as into the highest group in an orchestra called Seattle Youth Symphony Orchestra (most rigorous youth orchestra to get into in Seattle area, possibly in all of WAshington). If I were to also win 1st place in solo and ensemble, would I have a shot at Juilliard or even a chance? How good/bad of a chance? Just curious, although I don't plan on going there.