I would think so. I used cement pavers to expand my patio this spring, and the guys just dug out about 5 or 6 inches of soil, spread a layer of gravel, topped that with a layer of sand, set the pavers on it, and swept more sand across the top, allowing it to work its way in between the pavers. I'm sure the process is the same for brick pavers.
You might want to get some of the stuff they put around the edges to prevent the pavers from moving. I'm sorry, but I can't remember what it's called. It looks like angle iron, only it's made of something that resembles plastic. (It might even actually be plastic!
) You could put that around the interior edges of the space where you remove the pavers. For that matter, you might be able just use wood to stabilize the edges.