Here's a pictur, is it a regular air conditioner? There's a fan outside the house piping out hot air, so I assume that's connected to the pipes?
That unit is not bringing any air into the house. It is only cooling and cycling air within the house.
As to your other question, it's possible, I don't know everything that's ever been on the market. But it's really unlikely. But as @tjs282 says, that would be a lot less efficient than just cooling the interior air. So it wouldn't be a normal way to build one.