You see, this exact thing happened to Brad Pitt during the filming of Se7en, and instead of stopping filming, the director, David Fincher, simply had Pitt's hand-through-windshield injury written into the movie. The cast on his arm wasn't a nice touch of realism to show what actually happens to good guys when they get busted up chasing bad guys -- that was a real cast.
New Line CinemaAlso, Morgan Freeman brought that hat from home every day.
This presented more problems than you might think. Since movies are rarely shot in chronological order, Pitt still had a number of scenes to film that took place before that chase scene. Obviously, choreographing another injury earlier in the film would've been overkill, so Pitt simply put his hand in his pocket or otherwise out of view during those scenes. It's unclear why they didn't simply shut down shooting while Pitt recuperated, but we assume it was budgetary reasons.
New Line CinemaAlso, maybe something wouldn't keep that long.