Hi there,
There are currently no automated rules based off of the search query report. You could write a script that downloads the search query report and adds search terms as negative keywords.
There's no concept in AdWords of "pausing a search query". You can either add a search term as a keyword or as a negative keyword. Adding a search term as a negative keyword will prevent that search term from triggering your ads.
You can read up on automated rules
here to see everything that's currently possible.
Cheers,
Alex