No, there are two contributing factors to a stall: AoA and airspeed. When a stall warning sounds, you can't instantly increase speed, but you can very quickly decrease AoA by pitching down. Usually speed then increases and the problem is solved. The absolute worst thing you can do on a stall warning is give pitch up input. This will almost instantly increase AoA further and cause airspeed to drop. The higher AoA will also generate much more drag, further decreasing airspeed. In a deep stall, the drag is so high, the engines at 100% thrust will not be able to increase airspeed.