NonDocumentTypeChildNode.previousElementSibling

<div id="div-01">Aquí está div-01</div>
<div id="div-02">Aquí está div-02</div>
<li>Esto es un elemento de lista</li>
<li>Esto es otro elemento de lista</li>
<div id="div-03">Aquí esta div-03</div>

<script>
  var el = document.getElementById('div-03').previousElementSibling;
  document.write('<p>Hermanos de div-03</p><ol>');
  while (el) {
    document.write('<li>' + el.nodeName + '</li>');
    el = el.previousElementSibling;
  }
  document.write('</ol>');
</script>

// Source: https://github.com/Alhadis/Snippets/blob/master/js/polyfills/IE8-child-elements.js
if(!("previousElementSibling" in document.documentElement)){
    Object.defineProperty(Element.prototype, "previousElementSibling", {
        get: function(){
            var e = this.previousSibling;
            while(e && 1 !== e.nodeType)
                e = e.previousSibling;
            return e;
        }
    });
}