Yes, but it's a little odd how Facebook works when cookies are swapped while browsing a Facebook page.  So, if you swap CookieSwap profiles while looking at a Facebook page, it sometimes presents you with a login page (like it doesn't know who you are) even if you are already logged in on that CookieSwap profile.  If you see this happen, just reload http://facebook.com (or click on your Facebook bookmark) and Facebook will recognize you as the correct logged in user.

See the Help page for details on how to use CookieSwap in general, but for Facebook just add one extra step of reloading the main Facebook page (i.e. http://facebook.com) after swapping profile.