No, it can't. Only cards that explicitly state that they can return something from exile can do so. Examples are very few.
- Riftsweeper returns an arbitrary face up exiled card to library.
- Misthollow Griffin can be cast from exile.
- Torrent Elemental can be brought back from exile.
- Pull from Eternity returns an arbitrary face up exiled card to it's graveyard.
- Mirror of Fate swaps your library for 7 exiled cards (any order)
- Runic Repetition returns an exiled flashback card to your hand.
- Venser Diffusion returns a suspended (i.e. temporarily exiled) card to it's owner's hand.
As Jefromi points out in a comment to the answer, Mark Rosewater is not too interested in seeing this as a mechanic that gets deeply developed, because it then becomes a second graveyard. http://archive.wizards.com/Magic/magazine/Article.aspx?x=mtg/daily/mm/194Link
Note: There are on the order of 30 cards that exile cards face down. Here's a rough search for them on gatherer: http://gatherer.wizards.com/Pages/Search/Default.aspx?action=advanced&text=+[exile]+[face]+[down]