No Time To Explain had Steam trading card support added on July 31, 2013. There are 6 cards in the series, and you'll receive 3 cards at random for purchasing and playing the game.
The update to the game, No Time To Explain Remastered, also has trading card support. Although the two versions' cards are identical (other than order), they are not compatible: only cards from the same version can be crafted into a badge.