Final answer:
Ivan does not shoot Rainsford with the long barrel revolver at the door.
Step-by-step explanation:
No, Ivan does not shoot Rainsford at the door with the long barrel revolver. In the story 'The Most Dangerous Game' by Richard Connell, Rainsford manages to successfully escape through the door.
Ivan is a servant of General Zaroff and does not engage in a duel with Rainsford. The door with the long barrel revolver is not a trap set by General Zaroff.