Chances that there isn't any existing tool that can do that are big, because a tool like that would need to use  Facebook's API but since fetching the actions (likes,posts and whatnot) of a profile requires the said profile to give permission to the application,it won't work in your case.


What you can try is, open the facebook page, inspect (right click, inspect) on the page, in the Elements tab use Ctrl+F to perform a keywords search and search for your guy's facebook name/username so you can see if he was tagged by the page in a post. Beware that this method is quite inefficient and isn't guaranteed to work.