No, selection of TOGA will cause the flight directors to become active (even if flying raw data), and will command SRS (speed reference system), which is essentally go-around-attitude. Of course you will not get the force feed back on the side stick due to FBW and auto trim, but if you fly Airbus, this should be fairly instinctive.
Who knows - looks like CFIT, no matter whether still on finals or attempting a go around.