It's certainly possible. The volume of any of the great pyramids is immense.
Within the last few years, there was a team that uses a tiny rover to explore the "air ducts" that lead to the King's chamber. These ducts radiate up and out from the chamber and towards the exterior of the Great Pyramid. One of the these ducts actully opens to the surface. One other takes a sharp bend before going who knows where. The others end at a block. No one knows what these were for. Another great pyramid exhibits these same ducts, but they end within a few feet of the openings. Apparently, these ducts were real engineering headaches: bad enough to cut and move blocks to make a pyramid. Then to make special blocks to form and accomodate the ducts leading to the exterior of the pyramid!
Getting back to your point, there was speculation that the blocked ducts may have ended at the walls other unopened chambers.
It always amazes me that there are things that the ancients knew how to do that we had to rediscover. A few things we still haven't puzzled out for certain, such as exactly how the pyramids were built. (Well, I don't know, anyway!)