Kind of reiterating what others said but March 1st is their preferred date, that means you are giving yourself the best possibility of receiving the most aid for the year. Depending on your financial status and that of your parents income, you may actually qualify for up to $40,000/year in subsidized loans. You have the option of putting your parent's information, even if you are over 24 years old. If they really didnt make a lot of money and still dont, you have a shot at that but I heard its pretty rare, your parents really cant make a lot of money and its usually all or nothing. Meaning, you will qualify for the full $40K/yr in subsidized or just the $8500 cap or none at all.
Lastly, to answer your direct question, no, you are not completely screwed, good luck!