Not really, if you read now the D&D5 rules

"typical combat encounter is a clash between two sides, a flurry of weapon swings, feints, parries, footwork, and spellcasting. The game organizes the chaos of combat into a cycle of rounds and turns. A round represents about 6 seconds in the game world. During a round, each participant in a battle takes a turn."
Maybe D&D5 is based on the mecanics of Baldur's Gate ?
