Yea there are some SEO methods in your facebook fan page, lets start with the fan page name, it cant be too spammy,your fans will be less likely to engage with your page.
Once you create a facebook URL make sure to include what your business is about within it.
Google places higher importance on pages with specific information, so a good thing to do is to place your address and phone number of the business.
Create backlinks to your fan page on blogs sites and twitter profile.
Pay attention to the META description, its the first 18 characters of your post, so take advantage of it.
Good luck !!