My report date is like a year and two months out. Is there a possibility that I can get an earlier school date? And who should I contact?

School dates are generally given as the first available class date available. Class seats aren't like a PCS where you can show up. Class seats are a finite resource and all the earlier seats are filled or allocated to someone else.
If this is a Reclass seat, the answer isn't just no, but hell no. To change your class date you'd need to renegotiate your contract, which would require a valid issue, like you were injured or your spouse is having a baby right then. Even then, you'd get a later class date - if you even received a class seat for the same MOS.

SSG (Join to see) which school are you trying to get an earlier date for? Work through your schools NCO at S3. 14 months may be the closest available date depending on the school and the back log. They don't just randomly assign class seats.