No, you can't. Facebook seems to want to make sure the user knows exactly what they are looking at. To do that, they will always show the logo and text of the Page itself so the user has familiarity and trust in what they're seeing.
You're free to play with the options for the Fan Box on the page below. If you find a configuration set that you like that you can't get going in the JFBCFan module, let us know, but I think we have all the options there covered:
developers.facebook.com/docs/reference/plugins/like-box/
Best of luck, and we hope you'll consider renewing your subscription again soon.
Alex