It was meant to be a 'relationship' of fellowship. God's Law came through Moses. In Gen ch3, Adam and Eve ate of it. And death has reigned ever since. It doesn't matter whether or not there was a Law.
Death is death.
It is separation from the Holy God. It is enmity. The fellowship God had intended at creation, is not possible. It is not that God 'doesn't want' fellowship. Adam sinned, and by 'heredity' the whole world is in sin.