Why do you not want to file federal electronically?
Can you e-file State without filing federal at the same time -- there is nothing that prevents you from doing that
But should you ?
Most states wait fro the federal acceptance before they will process the state. There are a few exceptions , like CA. If you file State alone and not filing federal, you may have to mail-in the state along with a copy of the federal. But again , the processing may not happen till the federal is accepted
