yes, you are welcome to use your own license however you see fit on one machine at a time.
if you want to move it from work to home and back at will, I’d consider putting your license in a free rhino account and you can relocate it back and forth anytime you want and run cross platform mac or pc.
It looks like your Rhino 6 license already is in the Cloud Zoo. Simply install Rhino on a different machine and log in with your eMail address. If you have trouble getting this to work, please use the chat function from rhino3d.com or contact sales@mcneel.com directly.
-wim