No, but he would tire him out and finish him in the later rounds ala Bob Sapp. Brock had shit cardio whereas Nog had some of the best HW has ever seen. He was still going strong at the end of Fedor 3.
Unlike Ricco, Mir never had decent positional grappling, he was great at catching quick subs from unorthodox positions (Tank, Brock 1, Nog 2), but outside of that was not very refined. He could not compete at ADCC like Ricco did. Nogueira was a great positional grappler and outside of Fedor 1, he never took alot of damage from the guard.
Long story short, Nogueira weathers any early storm, tires out Brock, and either subs or TKO's him in round 4 or 5.