There are ways to do it, but JFBConnect doesn't pull events from Facebook natively. Using JFBConnect would help you implement it on your own, if you have a developer, but providing easier access to the Facebook API, and we could help if you had any questions. However, you'd need to be able to create a table to store the events in and create a way to show those events on your site. It wouldn't be a quick task.
Hope that answers your questions, even if it's not what you were looking to hear.
Thanks,
Alex