HTML/JS - open a link in incognito window

Summary :

I want to open a link in Private/incognito window.

<a href="http://www.example.com">link</a>

Reason :

1. To protect the privacy.

2. Sessions open in incognito aren't recorded in your browsing and download histories.

Criteria :

• Cross-browser compitable.

• Atleast in Firefox or Chrome browser.

Findings :

There are lot of posts regarding the same question in Stack overflow :

How to open new incognito window with Javascript? (Google Chrome)

HTML hyperlink target inPrivate / incognito window

How to open new incognito window with Javascript?

But no success from these questions as every answer of the related question in SO is conclude that That's up to the user. You can't force a user to open the browser in private browsing mode.

Is there a way, via Javascript or HTML, to open a url in a private/incognito window from an HTML page?