Yes. The earlier you get apps out the less stress u have later. Schools that don’t require essays are easy. A school like ASU will tell you the scholarship up front. But it’s $80 or so to apply OOS. So if it’s dependent on you getting NMS you may wait to see and save the $80.
Unless you are a pell recipient most public colleges don’t give need abd the FAFSA is not relevant. some do match the pell grant.
That said to answer you, the school will have a FAFSA deadline and just get it in prior. So go ahead and when college apps open get it done.