I've been looking around and can't find any information on whether or not you can track finger swipes in Google Analytics.
Yes, you can do this. jQuery Mobile includes swipe support
$("#the_div_id_that_is_swiped").on("swipe", function(event) {
// it has been swiped, so track it as an event
_gaq.push(['_trackEvent', 'Swipe', 'Landing Page Image', 'Description in here...']);
});