However, if you change your profile type (on your Rise profile edit page) to organisation, you can enter in the url of a facebook page at the bottom of the profile edit page. This information is then used if you are a player on a board that is tracking your facebook page's stats - currently there are very few boards on Rise that do that.
With regards to Rise boards that score you on your Klout score, connecting your facebook profile to Rise or recording your facebook page url on your profile will not add anything to your Klout score. The only way for your Klout score to take into account your Facebook data is to register on Klout and connect your Facebook credentials to your Klout profile.
Having said that, what was the reason you were trying to connect your Facebook Page to your Rise profile?
Hope this answers your query.