Somewhat, but not entirely. Early in his career, Jim Brown played with future HOFer Bobby Mitchell, who was a running back with Cleveland. After Mitchell was traded, Brown played with Ernie Green. Both Mitchell and Green would get 500 yards/year running the ball, not much behind the likes of Hornung, Moore or Pitts for the Packers.
Brown often lead the league in carries, but that was a result of his greatness, not the cause of it.