i dont think you can compare a space rocket to an airplane. but lets put this question to rest.
They are very comparable... it is just that the tail surface of an aircraft is more visible than the tiny variations in thrust and thrust angles of the various rockets keeping a rocket vertical as it leaves its mounting.
At lift off there is a critical period where the air is not flowing rapidly down the sides of a rocket, so balance is what keeps the nose pointing upwards... at launch the only think maintaining that balance once it is no longer supported on the launch pad is the directed thrust from the rocket motors.
It is rapidly burning fuel which shifts the cg, so it is natural for there to be a bit of wobble at the start.