It depends on several factors. It'd take a good bit of sound to shake a premier pioneer. If it is skipping though, you can build an enclosed bay for the changer and insulate it with dynamat or similar product. That will isolate the changer from the vibrations and will help ANY CD changer. Again, if your CD changer is solidly bolted down, it has it's own suspension system that will aid against skipping and it should be fine.
Hope it helps.