Short answer is, Certainly.
However, your results will depend on a couple factors; are you using the proper blade? and have you secured the blanks together sufficiently?
The blade factors, in because some folks may think they can use the same blade to cut a stack that they would use to cut a single layer. That may or may not be true, in reality. How thick you make your stack is a compromise between the efficiency gain of cutting multiples and being able to use the preferred blade. For example, one might want to cut a finely detailed pattern, out of 1/8" BB ply. For a single layer, the smallest blade available would normally be the choice. However, if you wanted to stack 6 of them together, you likely wouldn't have as much success with that same blade, so you need to consider how big the blade needs to be to cut the desired thickness of the stack and will that blade allow me to readily cut the detail in the pattern? Personally, I usually try to keep my stacks 1/2" or under. This is because most of the time, I'm cutting patterns with enough detail that I want to use a very small blade. Going much thicker than that slows the cutting down too much and dulls my blades too quickly. YMMV
There are several methods for holding all the layers together in your stack. Some folks wrap the stack with tape. Others drive small brads into the waste areas. Some use small pieces of double back tape, applied between the layers, to hold them together. I like to use hot glue on the edges of the stack to bond them together. Each method has its pros & cons. Bottom line is that if the layers happen to shift during the cut, you have effectively spoiled most, if not all of the layers, so it's important to choose a method that is secure, but still permits easy "unstacking" of the finished pieces.
