The sentence from "The Most Dangerous Game", by Richard Connell, that suggests Person versus Person conflict is The man's only answer was to raise with his thumb the hammer of his revolver.
In this sentence, we can infer that the man with the revolver is General Zaroff, a bored Russian General whose only pastime is hunting. He is aiming at Rainsford, who landed on the island after a shipwreck. There are two important types of conflict, external conflict, and internal conflict. In this case, there is an external conflict between two different characters who struggle against each other, one is the prey and the other one is the hunter.