Yes! In the Social Configuration area of JFBConnect, there is an "Exclude" option at the bottom. In there, simply add the article IDs of any articles you don't want to enable the social buttons for. So, even if you enable the social buttons for a specific category, if the articles with ID's of 2, 10 and 127 should *not* have the social buttons, add them to the Exclude Article IDs box like:
Hope that helps, but if you still have issues, just let us know!
Thanks,
Alex