Can I ask for Wastes like basic lands in Limited?
No, you cannot.

From the MTG Tournament Rules:


  7.2 Card Use in Limited Tournaments
  
  
    Players may add an unlimited number of cards named Plains, Island, Swamp, Mountain, or Forest to their
    deck and sideboard. They may not add additional snow basic land cards (e.g. Snow-Covered Forest, etc)
    or Wastes basic land cards, even in formats in which they are legal.