Yes, it works just fine. I have a manifold that I make that allows 4 chambers to be run off of the same pump. There are no issues at all. If you were talking about air FLOW, then yes, it would be an issue due to resistance. However, as long as the chambers don't leak, there is virtually no air flow. I have run 4 chambers off of one 3 cfm pump with no issue and have a customer who runs 6 chambers off of one pump and one of those chambers is a 6" ID x 42" chamber. The others are 4" x 42".
The trick to make it work most efficiently is to have a valve for each chamber at the manifold in addition to the one at the chamber itself. You start out with all valves closed. You open one valve and turn on the pump, then get that chamber started with the valve on the lid. Once up to close to full vac, you close off the valve at the manifold, isolating that chamber. You then start the other chamber and once it get to full vac, you close the manifold valve for that chamber. Repeat until all chambers are near full vac, then open all valves and let them run. Then, if one chamber finishes before the others, you simply close that manifold valve off and release it without affecting the other chambers. You can even refill that chamber and repeat the start up procedure to get it going. The one fellow that does 6 keeps his pump running non stop all weekend, rotating chambers in and out as needed.