ED Cornell & EOP/HEOP?

Is it possible to do early decision Cornell and get aid through the EOP program, cus my income qualifies for HEOP/EOP (higher education opportunity program) in New York State?

I know someone who got in early decision NYU through EOP.

Also, if my income is really low, do you think Cornell would give me a lot of financial aid? It would be pretty immoral if my FA package were bad.