That's such a good question. Picture-book authors have tried to do it with postmodernism, especially with nonlinear narratives.
Some of their work, like David Macaulay's Black and White, are very well done and have been highly acclaimed. But even the best haven't led to the kind of sweeping movement away from fairy and folk tales and toward naturalism that the books of Ruth Krauss and Margaret Wise Brown did. Children still seem to prefer linear, non-metafictional narratives.
Wikipedia has a good summary of the pomo efforts so far, and perhaps we'll eventually see more like them:
https://en.wikipedia.org/wiki/Postmodern_picture_book#:~:text=Examples%20of%20postmodern%20picture%20books,that%20often%20matches%20the%20pictures).