[Hookbill the Goomba]

We do get a suggestion of this, alike to how the ring happened to come into the possession of Bilbo in Gollum's cave. As Gandalf says:

"There were other powers at work"

Could this suggest Devine intervention By Iluvatar? Also when Gandalf says:

The Ring was meant to go to Bilbo but not by its maker!

so I would say yes, I think Iluvater would have had some intervention, he would not let Sauron or any who took over from him enslave his children. He would not, say, come down from heaven and destroy Evil himself, he would let The elves or men Do it themselves. As has been said;

A coincidence, or chance happening, is God acting secretly!

However, he would intervene, but give the children the choice of using the interventions wisely or foolishly.