ElementStacks

HTML

<script src="http://highcharts.com/js/testing.js"></script>
<div id="container" style="height: 400px"></div>

JavaScript

var chart = new Highcharts.Chart({
    chart: {
        renderTo: 'container',
    },
    series: [
                  {
                  name: 'test1',
                  data: [0]},{
                  name: 'test2',
                  data: [2]},{
                  name: 'test3',
                  data: [3]},{
                  name: 'test4',
                  data: [0]}
            ]
}, function(chart){

    $.each(chart.series, function(i, series){
        if (series.data[0].y === 0)
            series.hide();
    });

});