I doubt that David would be driving not walking nor would Hook.
They are both there beside the gurney and Whale is asking them what happened to the guy on the gurney, who we now know is (almost definitely) Little John. So yeah, they’re involved in whatever is going on with all of that. If they’re all out patrolling through the woods on the outskirts of town, they likely won’t be in a car, but maybe Charming’s car is parked nearby. Maybe he drove them all out there, parked, they got out to look around in amongst the trees, the monkey attacked, and then Charming goes to get his car where he parked it and they load Little John up and drive him to hospital.