Yeah, but the core of the question is air flow. Whether or not his jump had enough energy to carry him all the way to the edge from the core is kind of an important factor. Also he isn't falling toward the outer ring, he is drifting toward it while moving across a rotating column of air. That column of air would be rotating with the rest of the station and accelerating him.
That column of rotating air inside the rotating space craft is going near the speed of the 'ground'. As you drift toward the ground you'll be moving through air approaching the 60 miles an hour of the ground itself. That's about half of what is needed for skydiving simulators in 1g here on earth. Unless you "Tuck and streamline" it is going to have a rather drastic effect on you and take you along for the ride.
Even if you DID touch the 'ground' surface with a 60mph relative velocity you're still in zero g if you haven't picked up any lateral velocity. In all likelyhood you go spinning and rolling. Your risk isn't in hitting the ground that is moving at 60mph, other than a very nasty case of road rash, your worry is whether or not you're getting smack by a building doing 60mph in your general direction. Aim for a roadway and prepare the skin grafts.
Now, jumping out of the core through a vacuum and smacking yourself against a projection on the inside hull of a ring structure... That's going to be a very different matter.