The universe, our solar system, our planet, life, are good examples of things that have not apparently been designed and science has a fairly good understanding of how it formed and arrived.
"Method" may not be completely out of the question, as there are natural mechanisms at play, like gravity, accretion, evaporation, descent with modification, natural selection... The evidence still points at the lack of teleology or intentful design, outside of what humans engineer.
Adam and Eve is best described as mythology and that was of course, designed and developed by humans and their traditions. Ancient humans had no idea about how our planet or we came to be, so they imagined and invented deities and origin myths that don't agree with eachother, meaning that your Eden story is not even universal.
In fact, even in the Bible compilation itself, there are several versions of that myth. In Genesis are also found adaptations of other older myths, like Gilgamesh's Utnapishtim adapted from polytheism to monotheism in the Noah story. Unlike in the common claim of creationists that other cultures having (completely unrelated and conflicting) flood myths is supposed to "prove" Noah's story, there is obvious literary heritage here and it's from the same region. For instance, both stories use three birds to determine when the land is back.
Still, there is no geological evidence of a sudden worldwide flood, while the story may be inspired by actual local floods, it has no historical basis. There are many other impossibilities in the story that expose the ignorance of their writers, or that it was only a tradition of fables.
Of course, the superstitious tend to claim that those problems don't matter because supposedly it was miracles. God of the gaps is a common human fallacy and motivated reasoning to deny death, among other reasons. But since we don't see such miracles today, there's no reason to believe that they really happened back then. For the same reason, Yahweh doesn't send angels in flaming bushes anymore to correct fundamentalists misinterpreting scripture and speaking for God for their own purposes...