Yes. You can log into your Turbo Tax account and download the other version.
Since you now have to log into an Intuit Account to install it all your downloads and licenses are listed there (even if you bought it from somewhere else) so if you need to download to install it again or install on another computer, even on the other operating system (Windows, Mac). And the download will always be up to date with all the updates.
See this, at the bottom Common Questions- How to switch from one operating system to the other
How to install TurboTax CD/Download software with license code
Do you have a backup of the data file ending in .tax2023? You will need that file to open in the program. Also After you get the program installed or reinstalled the first thing to do before you open your tax return is to update the program and install any state programs you had. Then open your file. So you first might need to start a fake return to be able to download the state program (go to File-New Tax Return).
Then go to FILE -Open and find your return.
See this article on how to move your tax return to another computer…….
https://ttlc.intuit.com/community/tax-data-file/help/how-do-i-move-my-tax-data-file-to-another-compu...