Removing all the tumblers from a 1994 Saturn SC2's ignition lock cylinder will likely prevent the car from starting. While it might seem like it should just disable the steering lock, the tumblers are integral to the mechanism that allows the ignition switch to engage the starter motor. Without them, the ignition switch may not be able to complete the electrical circuit needed to crank the engine. Even if it *did* start, it would be extremely unreliable and dangerous.
In short, the answer is no, it's highly improbable the car would start and drive normally. The lack of steering wheel lock is a secondary effect; the primary effect would be the inability to start the car.