No, SSL should work just fine with JFBConnect. We use it on this site (though not site-wide), but it shouldn't be a problem. Please do make sure that you're using a real SSL certificate, and not a self-signed one that isn't recognized by browsers by default.
If you still have issues, please:
1) Let us know a site where we can test
2) Let us know what version of JFBConnect you are using
Also, please post from an account that you subscribed to JFBConnect from. Priority support is for active subscribers only.
Thanks,
Alex