Will using page headings (h1, h2, h3 etc) as internal links encourage Google sitelinks?

I am trying to change my site’s page headings to better emphasize the structure of the page’s content hierarchy. I am hoping this will encourage Google Sitelinks and list snippets.

Current headings are not optimized: I would like to use the <h2> heading as an internal link.

Will this encourage Google sitelinks and better content indexing?

<h2><a href="Example.com">text</a></h2>