J,
No, that completely violates Facebook's terms. While it is technically possible, Facebook explicitly states that Like's cannot be used to gate or 'reward' users for Like'ing pages on your site. They seem to be ok with it on their Canvas pages, but seem to want only 100% organic and unbiased Like's for webpages.
Sorry that's not what you were looking to hear. We'd love to have that as a feature in JFBConnect as well...
Alex