No, the earth and sky are NOT due to the separation of your first parents---BUT---- Adam and Eve did obviously love each other to the point of Adam following Eve into an act of disobedience, Eden was peaceful at first, they did have lots of kids and some of those kids tear their parents hearts apart by delving into murder and walking away from their Creator post Eden.
"MAORI Creation Myth: There was a Sky Father, Rangi, and an Earth Mother, Papa, as the story went. They loved each other to
death, and at the beginning of time, they just lay together, cuddling and loving each other. Everything was peaceful.But then they had kids. Like, a lot of kids. These children
were stuck between them and didn’t much like this arrangement, so they
decided to tear their parents apart. They, at last, managed to do this,
and the Rangi separated from the earth and went to live like the sky.
And, to this day, Rangi misses Papa so much that he will sigh and weep,
and this is why it rains." IshitaRoy