No. It only negates good secondary effects apparently, but won't cancel out ones like Recoil. Too bad, imagine what that would do if there was no recoil for head smash on a Rampardos... Though on a different note, it says on Bulbapedia that "If a Pokémon with Brute Force is holding a Life Orb and uses an attack that would be boosted by Brute Force, then the move gains both boosts but the user receives no recoil damage."
http://bulbapedia.bulbagarden.net/wiki/Brute_Force_(ability)#Effect
This ability is not applied to moves that have a negative effect on the user, such as recoil, two-turn moves, and stat reduction after using certain moves.