Seems not. I think you need more than one Adobe ID. A strange limitation.
No I had to setup a second account for my Wife. I had two subscription in my Account but could not activate Photoshop on a third machine for my Wife. Call Adobe they had me set up a second account and transferred one of my subscriptions to her account.. So I now have an additional account and password I need to maintain,
Thanks for the info. I suspected as much!