Here you need to enter names, occupation etc., as well as your SSN/ITIN. If you are still expecting to receive your SSN or ITIN, you would not be able to file your State tax return and it is best to wait until you receive your tax identification number.
If you expect that you might owe money, you can pay this directly to the state tax office via their official website and if you have overpaid, the amount will be returned to you later on.