JSFiddle - React, Tailwind, and code Playground

HTML

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min.js"></script>
<link rel="stylesheet" href="jquery-ui.min.css">
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min.css">
<img src='someimage.gif' id="datepickerImage" />
<div id="datepicker"></div>

JavaScript

$("#datepicker").datepicker({
            changeMonth: true,
            changeYear: true,
    })
    .hide()
    .click(function() {
      $(this).hide();
    });

    $("#datepickerImage").click(function() {
       $("#datepicker").show(); 
    });