Yes, AppArmor and snap try to. Still worlds away from what Windows and OS X are doing, not to even mention mobile platforms.
Not really, it's a on-purpose contrived thing to attempt to deploy sandboxed apps on Windows.
Developing a sandboxed app in Windows means deploying a correctly sandboxed Appx in Microsoft Store, and getting those (Appx deployed on Microsoft Store) correctly working is hell for any non-trivial application.
On Linux, you can attempt (it's not garanteed to work) to sandbox anything you want. Whenever the sandbox even is able to conveniently defend what really matters to you (say, your private key files) is another matter.