Unity Free License On Two Seporate Computers

I installed Unity in an… “interesting manner” on a computer (Mac OSX), because I did not have admin privileges. Now it wants me to create a license file… which I also need admin privileges to do. I have Unity (free, not 30 days) on another computer (Windows 7), could I create a “license request file” on that computer, bring the file to the other computer and use this link: https://license.unity3d.com/ then put the license file inside the Unity folder on the computer that needs it?

Thanks!

No. You need to create the license request file on the computer you are trying to activate. Just ask whoever is the admin user on the Mac to help you.