According to the DVD commentary, the car chase scene was originally meant to be a spoof of Ronin. When the filmmakers go to the location, they saw how quickly the lights changed, realized it would be a funnier joke, and rewrote the scene - the lights really do change from green to red as fast as they are shown in the movie.
At one time Jim Carrey was slated to star as the lead and even contributed jokes to the screenplay, such as the main character being named 'Focker'.
The home video footage of Teri Polo during the opening credits was filmed by her ex-husband Anthony Moore.