How to post comment in web widget

Hi,

I am able to post comment in the ticket using below api

curl https://domain.zendesk.com/api/v2/tickets/3.json \
-H "Content-Type: application/json" \
-d '{"ticket": {"status": "open", "comment": {"public": true, "html_body": "here we go", "author_id": 1234567789 }}}' \
-H "Authorization: Bearer token_here" -X PUT  

However I would also like to post comment in the web comment widget. Is it possible to post comment in the web widget?

Thanks

Shiv