Jeez. The answer to that one isn't even so hard.

Do you do absolutely everything on the internet, using a browser?

If yes, sure, consider a Chromebox. As far as I can tell, it's a wireless-equipped, possibly multiuser, Chromebook.

If not, because you need to run Word, PhotoShop, Quicken/Quickbooks, or any other business or personal applications, then No, because the Chromebox won't run any of those.