No, there's no way to do that with JFBConnect currently. Just so I understand a little more to see if there's something we may be able to help you implement:
* You have a lot of users on your site
* They each have 'landing page' of some sort (a shop page or something)
* You want to let them put an icon in their own Facebook Page that would show that landing page when clicked on
Is that correct? It may be possible to do something like that, but we'd have to investigate the best way to go about it. Facebook really only lets you set one page as the 'home' for a Facebook Page Tab, but there could be some logic to redirect that 'home' page to a user's 'landing page' if we had the right information.
Not saying its possible or easy, but we'd love to hear what you're looking to do and we'll see if we can help you do it.
Thanks,
Alex