I did some TCAS training in the 747 Classic at Burgress Hill, whilst doing a 727 conversion course, with an ex BA 747 Captain. After the training he demonstrated a take off couple of circuits and a 2 engine landing all by himself it was impressive.
So yes you can fly the aircraft with no other person to assist but that was in the Sim would you want to do it for real. Personal opinion no the extra pair of eyes and team work all ways reduces the work load which is invaluable in those high stress situations