No, you cannot. TurboTax is not designed to do stand alone state taxes.The federal information flows to our state returns. Vermont does not have an online filing system although they list software providers. I only know that we can not do stand alone states.
https://tax.vermont.gov/individuals/free-file/vendors
Your other option is to file by paper. Here is the Vermont onformation:
https://tax.vermont.gov/individuals/income-tax-returns
If you have other questions about this, ask in the comment box below.