I'm sure it's possible, but would need custom development.
It's just weird, every other stat on the user profile is clickable. Messages, media, resources, points. But reaction score isn't. Considering there's already a page that exists, makes sense it should be exposed.
I just made a site for someone and they sat a few people down to test it and they all tried to click on the reaction score to see that user's reactions, but of course, it didn't work, which they thought was odd.