Can I do a different backup from one computer

Hello, I want to know how I can do a backup of a PC that’s already been backup but do it under a different name.

Have 2 backup of one computer but with separate files?

Thanks

Hello, what backup program are you using, and do you plan on making the backup on the same hard drive or a different one? 

Hello,

I have a WD passport and my boss has back up the computer i use on it before, but since I have taken over the computer, I have changed files and documents.

I want to back up on the same passport, the same computer but under a different name, so that it does not update existing files on the 1st backup of the computer, prior to me being there. Does it make sense? thanks for helping