Sort of. Basically you will collect keys to open the chest. The chest has a set amount of cards in it. Everytime you open the chest with your keys you draw 1 card. The chest now has 1 less card in it. The cards in the chest are preset, so the more you open it the more likely you will get the different cards.
EX: 60 Cards in the Chest
You open it 59 Cards left
You can reset the chest whenever you'd like back to 60 cards to try and repull cards you may have already gotten.