After finishing the main storyline of the Citadel DLC, you get the option to invite certain crewmembers up to your apartment for a scene. When you invite James in, he notices your exercise equipment as he's leaving. At this point, you can interact with the pull-up bar and he'll challenge you to beat his record - 182 pull-ups.

You can indeed manually do these pull-ups one-by-one. Is there any point or reward to completing this?