Yes! With the free Facebook app activated in your Facebook account, you can showcase all or select Credit you earn on Facebook in a special area dedicated to your achievements.
The Facebook app has some special settings that allow you to decide exactly what you share on Facebook and with whom. You can select Credit from specific categories you have created on Credly, or Credit from particular issuers.
With your Credly account linked to Facebook (see your "Account Settings") and Auto-Share settings in place, it's really easy to have Credit from sources you trust automatically posted to the Facebook app. And course you can share Credit individually from Credly to Facebook at any time from your My Credit section.
Also, with the Facebook app enabled in Credly, you can import your Facebook friends into your Credly contacts (see Contacts & Lists).
Check out the Facebook App!