Can I put the search form at the top of our 404 page?

Replying to myself. I wrapped the .innerHTML call in a try/catch block

<script type="text/javascript">
    var x = document.getElementsByClassName("page-not-found"); 
    var search = '<div class="page-not-found-search-top"><h2>Search this site</h2><p></p><form action="/search" id="discourse-search"><input type="text" name="q" value=""><button class="btn btn-primary">Search</button></form><p></p></div>'
    try {
        x.item(0).innerHTML += search
    } catch (error) {
    }
</script>