hi Geert-
What you are saying is technically possible. But the outdoor temperature would have to be quite cold. There are some air-cooled chillers on the market that I have seen which do this, but the outdoor ambient temperature must typically be somewhere below the freezing point of water.
As you know, you need a fairly large temperature difference to drive cooling cycles in general, so it must be quite cold. And controls are of course very important to prevent the water from freezing when exposed to such cold temperatures. I worked on a project in Budapest where this approach had been taken using air cooled chillers. I believe Carrier made these chillers. Here is a link to a sample chiller that is like this.
I had always thought this was possible as well, but I had never seen a manufacturer who had produced this type of machine. Now there is at least one that I know of. If the link does not work, the model is the Carrier 30XA 252-1702. This manual even includes the performance of the chiller under these conditions. I do not know if there is a water cooled chiller with this capability. As I said, controls are important. Maybe the water cooled chillers prove too difficult to control. I am not a chiller expert.