This might be a roundabout way of doing it through your Dropbox, but as I mentioned above, it's much easier just to download the software to the target computer.
In any case, if you go the Dropbox route, perhaps this is possible:
If you use this FAQ below, perhaps you can use Computer 1 to copy all the installation files from the CD to Computer 1, and then move that folder to your Dropbox folder. Then perhaps you can copy that subfolder of installation files from Dropbox to the new computer and install from Computer 2's hard drive. The installation process doesn't actually start until you launch it at Computer 2.
https://ttlc.intuit.com/community/installing/help/install-turbotax-from-your-hard-drive-windows/00/2...
There's lots of steps there where things could go wrong. An official download installation file to Computer 2 from your account would be quicker.
