No. You can only do the current year with TurboTax (TT) online software.
You can still prepare 2016-2018 returns with TT download software. You cannot e-file, but must print and mail. https://turbotax.intuit.com/personal-taxes/past-years-products/
For the other years, you can get forms (for mailing) from the IRS. https://www.irs.gov/forms-pubs/prior-year
