Is it possible to clone html element objects in JavaScript?

With native JavaScript:

newelement = element.cloneNode(bool)

where the Boolean indicates whether to clone child nodes or not.

Here is the complete documentation on MDN.

Using your code you can do something like this in plain JavaScript using the cloneNode() method:

// Create a clone of element with id ddl_1:
let clone = document.querySelector('#ddl_1').cloneNode( true );

// Change the id attribute of the newly created element:
clone.setAttribute( 'id', newId );

// Append the newly created element on element p 
document.querySelector('p').appendChild( clone );

Or using jQuery clone() method (not the most efficient):

$('#ddl_1').clone().attr('id', newId).appendTo('p'); // append to where you want

It's actually very easy in jQuery:

$("#ddl_1").clone().attr("id",newId).appendTo("body");

Change .appendTo() of course...

Get the HTML of the element to clone with .innerHTML, and then just make a new object by means of createElement()...

var html = document.getElementById('test').innerHTML;
var clone = document.createElement('span');
clone.innerHTML = html;

In general, clone() functions must be coded by, or understood by, the cloner. For example, let's clone this: <div>Hello, <span>name!</span></div>. If I delete the clone's <span> tags, should it also delete the original's span tags? If both are deleted, the object references were cloned; if only one set is deleted, the object references are brand-new instantiations. In some cases you want one, in others the other.

In HTML, typically, you'll want anything cloned to be referentially self-contained. The best way to make sure these new references are contained properly is to have the same innerHTML rerun and re-understood by the browser within a new element. Better than working to solve your problem, you should know exactly how it's doing its cloning...

Full Working Demo:

function cloneElement() {
    var html = document.getElementById('test').innerHTML;
    var clone = document.createElement('span');
    clone.innerHTML = html;
    document.getElementById('clones').appendChild(clone);
}

<span id="test">Hello!!!</span><br><br>

<span id="clones"></span><br><br>

<input type="button" onclick="cloneElement();" value="Click Here to Clone an Element">

Vanilla JS approach on what you are trying to do

const oldDdl = document.querySelector('#ddl_1');

const newDdl = oldDdl.cloneNode(true);

oldDdl.setAttribute('id','newId');

const oldDdlHtml = oldDdl.innerHTML;

In one line:

$('#selector').clone().attr('id','newid').appendTo('#newPlace');