Control surfaces don’t do anything in a vacuum so there is no ‘steering’. You would therefore be reliant on the direction of thrust from the engines. These are pretty powerful. If that thrust doesn’t go exactly through the centre of gravity (which is changing all the time with fuel burning and astronauts moving about) then the rocket goes spinning off into space like a Catherine wheel. Even with technology today, building a servo that could react quickly enough to a moment like that would be very hard, not least because there is no damping whatever. I wouldn’t have a clue how to even model a system that invites oscillations with an infinite Q. There point is that there is zero chance of a the computers on board Apollo 11 being able to do it.