Hi Jared, at this time it isn't possible to add a banner directly to the Hamburger menu as banners appear in browse pages and are not something you can directly navigate to, like a collection or an article.
I suggest if you are looking to have a navigation jump link in the hamburger menu, that you create an HTML article that just has a javascript meta refresh to go to whatever location you are trying to get to.
The HTML article would simply be something like:
<html>
<head>
<meta http-equiv="refresh" content="0;URL='http://location1.com/'">
<script type="text/javascript">
window.location.href='http://location2.com/';
</script>
</head>
<body>
</body>
</html>