You can play with the option fullpage.js provides to cancel a movement before it takes place.
var delay = 2000; //milliseconds
var timeoutId;
var animationIsFinished = false;
new fullpage('#fullpage', {
sectionsColor: ['yellow', 'orange', '#C0C0C0', '#ADD8E6'],
onLeave: function(origin, destination, direction){
var curTime = new Date().getTime();
//animating my element
$('#element').addClass('animate');
clearTimeout(timeoutId);
timeoutId = setTimeout(function(){
animationIsFinished = true;
fullpage_api.moveTo(destination.index + 1);
}, delay);
return animationIsFinished;
},
});