Yes! Wagered tickets will first be pulled from any tickets that you have saved. If you do not have any saved tickets, then tickets that are already in play will be randomly selected and used for your wager.
For example, if you have 100 tickets that are already in play for a daily drawing, and you want to wager 10 tickets for Double Down or Moonshot, 10 tickets will be randomly picked and played as your wager.