Você pode fazer isso com o Google Chrome usando a extensão NOREF: link
Descrição fornecida pelo desenvolvedor da extensão:
This extension adds a rel=noreferrer attribute to every link on any web page being viewed. It blocks sending referer headers to landing pages, thereby strengthening privacy while browsing. ------------------------------------------------------------------------------------- Referrer (aka referer) is a header value transmitted by the browser to a target web site when a link is clicked on. It contains the URL of the referring web site where the link was clicked on. Some users may not wish to share that information with websites while they browse due to privacy concerns. This Chrome extension blocks the transmission of the referrer header to sites, by adding rel=noreferrer to every link on web pages.
Outra forma alternativa seria iniciar o Google Chrome usando --no-referrers, supondo que você esteja usando o Windows.
"C:\Users\Username\AppData\Local\Google\Chrome\Application\chrome.exe" --no-referrers