Does the Bible ever say that the Ark of the Covenant flew or levitated?

I've heard several references in History and Discovery channel type TV programs that say that the Bible talks about the Ark of the Covenant miraculously flying. Not to mention there was a line about that in Indiana Jones. I am not aware of any Bible reference that says any such thing. Is there some verse I'm missing? If not, is there some other ancient source -- the Talmud or Josephus or something -- that makes such a statement? Or is this just some crazy idea that came out of nowhere?