You're right, there's no pun at all in English. There are ways you could make a pun in this situation -- for example, the passenger in the car is a prostitute; the driver says "Take it off!" (meaning, "Сними паука!"); the prostitute interprets this to mean "Раздевайся!", and she says "You have to PAY me first..."
There are other possible puns (e.g., "shoot the spider with a camera" versus "shoot the spider with a gun," as I already mentioned). But no pun HERE, in the movie. Kudos to the Russian translators for improving the scene!