The name of the actor is a parody of Chuck Norris and Arnold Schwarzenegger. The fact that he is starring in action movies further proves this. It's possible that Rockstar used slightly edited models of Tom Novy or possibly Mickey Hamfists.
Grand Theft Auto III
The actor appears to be a relatively high man and wears a blue suit. If the one looks closely, they can spot a beard, just like Chuck Norris has.
Grand Theft Auto: Vice City
The Vice City sighting of Chuck is on a poster of the movie Half-Cocked, which is located around the City Model in InterGlobal Studios, Prawn Island. It is likely that textures were reused from Grand Theft Auto III.
Grand Theft Auto: San Andreas
If the one listens closely to some pedestrians, they can hear that the pedestrian saw Schwartz and his Half-Cock jogging near his house in Vinewood. This is actually a reference to the film he starred in.