No, a 2015 return cannot be prepared and filed online with TurboTax. It would have to be prepared in desktop software, and cannot be efiled. It has to be printed, signed, and mailed.
You can purchase the 2015 desktop software (CD/download) directly from TurboTax at the link below, or you may be able to find it at a discount at a reputable online retailer like Amazon.
https://turbotax.intuit.com/personal-taxes/past-years-products/
Be aware that Deluxe comes in 2 versions--a combo version with Federal and State, and a version that is Federal-only. If purchased from TurboTax, it is the combo version with Fed and State. If purchased elsewhere, you have to be careful to purchase the correct version you need. The Basic Edition does not come with a state return and cannot import from ItsDeductible.
In the desktop editions there is a 24.99 fee to efile a state return (except no fee for New York state.) There is no fee to print and mail the state returns. (EDIT NOTE: this state efile fee doesn't apply to a 2015 return, however, since a 2015 return cannot be efiled.)
