Yes, you can file for an extension for both federal and state taxes.
You can click here to file a Federal Extension: https://turbotax.intuit.com/irs-tax-extensions/.
Each
State has different extension requirements. Please see the TurboTax FAQ
below and choose your State for details on what you need to do to file an
extension.
https://ttlc.intuit.com/replies/3300227