NO , Op cannot
He can pick his poison; if he is saying he needs a 5th or 6th year to graduate, then he is not going to get NYS aid because he has not made SAP by completing 30 credits a year toward his degree.
NYS aid is designed to get students in college, and get you out in 4 years. If you want tho double major, change your mind or do anything where it takes you longer than 4 years to graduate, you pay for it out of your own pocket.
It does not matter if there were years that you did not get state aid before, it is still 4 years of college and done.
Unless OP is in an opportunity program or a student with a disability who is coordinating services through access VR if s/he wants to take longer than 4 years to graduate, then Op has to pay for it.