Yes this is FAR too early. What you want to do is wait until about November to send that application in. That way it will get it to the programs a bit after the big rush of applications and your application will seem like a pleasant little bit of reading, unlike the large pile of applications they had to wade through earlier in the year. This will also demonstrate that you are not bothered by the pressure of meeting deadlines and conforming to social norms. Another good way to communicate this would be to get several visible tatoos before your interview, and perhaps hold off on shaving (if you are male) for several days before the interview. This will show them that you are confident in who you are and that you play by your own rules. Program directors will love your sense of independence and you will have no problem matching in the program of your choice.
