Yes, possible using FB.Event.subscribe()
and XFBML
HTML:
<fb:like href="{Herf}" width="450"></fb:like>
JS:
window.fbAsyncInit = function() {
FB.init({
appId: '{appID}',
status: true,
xfbml: true
});
// FB event listener
FB.Event.subscribe('edge.create', function (url) {
console.log('You liked the URL: ' + url);
});
};