A Driver's license number or state identification information isn't necessary for your federal return.
However, without this information, the processing of your state tax return may be delayed, in certain states, and some states may not allow you to e-file without it.
Please see the TurboTax Help article “Why are you asking for my driver’s license or state ID?” for more information., and the articles "How do I print and mail my return in TurboTax Online?" or “How do I print and mail a return in the TurboTax for Windows CD/Download software?” as appropriate for guidance in paper-filing your return.