If you replicated their drawing you would get a vacuum on the one nozzle, but only if you turn the valves on correctly.
The top left think is a vacuum generator. It turns compressed air into a vacuum. So in that picture, they have compressed air coming into the valve manifold from the right.
When you turn on the left valve, compressed air is applied to the vacuum generator. It will then create a vacuum on the nozzle AS LONG AS the second valve from the left is NOT energized. When you energize it, compressed air will be introduced to the nozzle and compete with the vacuum. The compressed air will win and the part will come off.
No need for your vacuum pump.
Likely the valves will not work in vacuum.