May I apply now for Fall 2011?

I want to apply for a grant for this Fall, am I late for this

Assuming you're asking about the FAFSA and Pell Grant programs,

http://www.fafsa.ed.gov/fotw1112/pdf/Deadlines.pdf

I would check with the student aid office at the institution you're considering. The information from the Dept of Education link above says the deadline for 2011-2012 is June 30, 2012. You should verify that is correct.