Add onclick event to shortcode

Would it be possible to trigger a javascript event in a shortcode? Something like
[ngg src=”galleries” ids=”4″ display=”basic_tagcloud” onclick=”HideGallery()”]

The idea is to have a page initially showing two galleries, one with a tag cloud, and one with the latest images. Upon clicking a tag, the gallery with the latest images is supposed to disappear. The entire code would be like this:

[ngg src="galleries" ids="4" display="basic_tagcloud" onclick="HideGallery()"]

<div id="LatestGallery">
    <h3>Latest images</3>
    [ngg src="galleries" ids="4" display="basic_thumbnail" images_per_page="24"]
</div>

<script>
function HideGallery() {
  var x = document.getElementById("LatestGallery");
  if (x.style.display === "none") {
    x.style.display = "block";
  } else {
    x.style.display = "none";
  }
}
</script>