JSFiddle - React, Tailwind, and code Playground

HTML

<select id="sourceItems">
    <option>TestItem1</option>
    <option>TestItem2</option>
    <option>TestItem3</option>
    <option>TestItem4</option>
    <option>TestItem5</option>
</select>

<select id="destinationItems">
</select>

JavaScript

$('#sourceItems').change(function () {
    $('#sourceItems option:selected').appendTo('#destinationItems');
});

$('#destinationItems').change(function () {
    $('#destinationItems option:selected').appendTo('#sourceItems');
});