" I came up with a last ditch idea. I pulled hard toward his aircraft and yanked the throttles back to idle, popping the speed brakes at the same time." " The MiG shot in front of me for the first time!"
- Randall "Duke" Cunningham, commenting on how his was able to maneuver his F4 behind a North Vietnamese MiG-21, obtaining his fifth kill, making him one of only two pilots during the Vietnam War to earn the status of Ace; the other was an Air Force F4 pilot.
Much of the movie Top Gun was based on the actions of Duke Cunningham, he even met his wife using the "You've lost that loving feeling" line.
So the answer to the question is yes, hit the brakes so he'll fly right by does work.