Pop Fiction: Can Mew be Caught Without Cheats in the Original Pokemon Games?

I love Pokemon Red, Blue, and Yellow to death. I was not aware there was such a method in-game, so I cheat coded my way to getting Mew back in the day. Still, Mew is awesome… and now all the rest of you can get him for yourself in the classic Pokemon games! I would say much, much more, but I’m too busy trying this myself to talk!