Can I discard a Pokemon with the "Delta Evolution" Ancient Trait to evolve ANY Pokemon in play?
No, that's not how it works. You can only play the Pokemon with the Delta Evolution Ancient Trait on top of a Pokemon it can normally evolve from.
Source: Roaring Skies FAQ (2015-05-07), TPCi Rules Team (2015-05-07)
Can I use Rare Candy to evolve a Basic Pokemon into a Stage 2 Pokemon with the "Delta Evolution" Ancient Trait on my first turn or on the Basic Pokemon's first turn in play?
No, you may not.
Source: Roaring Skies FAQ (2015-05-07), TPCi Rules Team (2015-05-07)