Yes, Darkrai can learn the moves Roar of Time and Spacial Rend (see http://www.serebii.net/pokedex-dp/491.shtml - the "Special Moves" section near the bottom).
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No it can,t. roar of time is dialga's signature move and spacial rend is palkia's signature move, and only those Pokemon can learn the corresponding moves. By cheating and hacking of course you can...