Not impossible: just hard. They worked over time to consolidate and control as many media outlets as possible. The Internet lets us try to counter that. People would have to package the exposes and alternatives in ways existing outlets would present them plus push them on alt news outlets for various demographics that had established reliability. The altnews outlets are important here as they won't censor stuff affecting elites.
It will take much time and money to build this up. For corporate media, you have to be paying lots of ad revenue or generating plenty ratings/entertainment for them to listen. So, just expensive and hard to change things.