No, part of going into public domain is that anyone (Disney, NBC, your cousin, etc.) could make a new project using the character (based on what's in public domain), just as long as it doesn't resemble a trademarked image in use. That's how Disney can keep churning out films based on public-domain fairy tales, but we're still free to make our own Cinderella, Snow White, etc. stories/cartoons/etc. (or Sherlock Holmes stories, films, etc.) as long as Snow White doesn't look like the one in the Disney film.
As for public domain material, anyone can make a DVD and sell public domain material, as all those chintzy $1 DVDs at Walgreens/dollar stores/etc. show, or put it online.