Does Stack Deck trigger Nocturne?

Yes, revealing Nocturne with Stacked Deck triggers his ability and allows you to play him.

According to the official FAQ for this interaction:

• Ruling: Yes, revealing Nocturne with Stacked Deck triggers his ability and allows you to play him for 1 power.
• Nuances:
  • Nocturne's text "if you don't draw" refers to not drawing Nocturne itself, not other cards.
  • Drawing is different from revealing or looking at cards.
  • The card must be banished to use the ability.

Sequence of events:

1. You play Stacked Deck, which reveals the top 3 cards of your deck.
2. If Nocturne is among them, his ability triggers because you are "looking at" or "revealing" him.
3. You may choose to banish Nocturne.
4. If you banish him, you may play him for 1 power (this puts him on the chain).
5. You then proceed to choose one of the remaining two cards from Stacked Deck to put into your hand and recycle the other.
6. Nocturne does not count as the card you add to your hand from Stacked Deck.