You sure can! TurboTax 2020 software can be installed, authenticated, and activated on up to 5 different computers per the TurboTax Desktop Software End User License Agreement for Tax Year 2020.
In addition to the General License Grant you may: (i) install and use a copy of the Software on up to five (5) computers owned by you (at home or at work); (ii) use the Software only to prepare, print and/or electronically file your federal 2020 tax year returns and related state tax returns as described below; (iii) make one backup copy of the Software for your personal use as permitted under this license grant. Any software that is delivered by electronic transmission (regardless of whether a replacement copy is ordered) shall be deemed delivered on the date that Intuit makes such program available for download.