Yes, Joe and Beck do sleep together.
Their intimate relationship is established early on. Notably, Joe and Beck engage in sexual activity after a specific event where Beck visits Joe's apartment. This visit occurs following a conversation Beck has with Peach Salinger, during which Peach expresses her suspicion that Joe may have stolen her rare *Ozma of Oz* book.
Following this revelation from Peach, Beck goes to Joe's apartment on the same night, and it is there that they have sex, marking a significant development in their complex relationship.
[[Fictional Relationships]]
