yes you can but you'll have to buy the desktop version of the 2021 app since online preparation and e-filing for 2021 are closed - full pc or Mac required. Then you'll have to upload the xxx.tax2021 file from your online account. you need this file because the source info most if not all state info comes from the federal input.
https://turbotax.intuit.com/personal-taxes/past-years-products/2021/