Are there helicopters that do not make noise?

Not really.

There are helicopters the reduce noice significantly but all helicopters make some noise. largely due to their engines. This is esspecially the case if they are powered by turbine engines.

The blades that cut through the air also make some noise

There was a helicopter that was built during Vietnam that made very little noise due to extensive modifications. It was called the OH-6 "Loach."

It was used for special ops missions

see this link http://www.airspacemag.com/military-aviation/16047922.HTML