No, DnD started out in its early beginnings as a game called "Chainmail." It was a strategy miniatures war game between 2 to 10 players.
Please don't confuse player killing with player vs. player game mechanics. D&D has always used characters of nearly equivalent statistics in its battles and it rarely mattered which player (DM or otherwise) was controlling what. Duels between players were fully allowed and "PvP" in RPG tournements was extremely common. Above all, player interaction was always the most important ingredient to the telling of the story.
Please don't pervert the memory of a mostly-dead art form with your MMO-like contortions of the genre.