Can I take a secondary hard drive from one computer and place in another and be able to read the data with the new computer. Both running windows 10 pro.
If you are the only user then odds are good you always log in as an administrator, most people do.
All that will probably happen is a pop up saying to need admin rights to access the drive and you'll have to click yes or something.
After the first time it shouldn't happen again. In the past on other OS versions there was a procedure for taking ownership but I don't think it applies under windows 10.