Yes, but you must buy a separate program for each year, and file those earlier returns by mail. TT currently supports 2017-2020 only.
TurboTax® 2020-2021 CD/Download Tax Software, Compare Desktop Tax Preparation (intuit.com)
TurboTax® 2019 Tax Software for Filing Past Years’ Taxes, Prior Year Tax Preparation (intuit.com)
TurboTax® 2018 Tax Software for Filing Past Years’ Taxes, Prior Year Tax Preparation (intuit.com)
TurboTax® 2017 Tax Software for Filing Past Years’ Taxes, Prior Year Tax Preparation (intuit.com)
Federal tax refunds for earlier years are barred by the Statute of Limitations.
