Sure, just create a Chrome app with your Chrome actions and delete all of the Global actions and other apps.
If you don't want S+ to even capture the mouse anywhere but in Chrome, delete all Ignored apps except one, clear out all the fields, and paste this into File Pattern:
^((?!chrome.exe).)*$
You could could also add to this whitelist if you wanted to add another app:
^((?!(chrome.exe|calc.exe)).)*$
..or add yet another:
^((?!(chrome.exe|calc.exe|notepad.exe)).)*$