@Pothineni, A Thanks for reaching out.
Unfortunately, there are no out of box connectors that can help you. You need to write your custom code (in any language that you know), use regex or parse through HTML, or use XMLHttpRequest to get the HTML content link and get the actual zip file URL. Once your service returns the HTTP URL you can leverage the logic app Native connector to call your HTTP service that you have deployed. Once you have the response from your custom service then you can again leverage the logic app Native connector to make another call to get the zip file stream inside the logic app.
Feel free to reach out to me if you need assistance with your logic app workflow.