The short answer is Yes.
Although Jersey is not in the EU,it can take advantage of EU Protected Designation of Origin Legislation.
It has chosen (and succeeded) with Jersey Royals.
These potatoes must be grown on Jersey,in fact they cannot be called Jersey Royals if even grown on Guernsey or any of the other Channel Islands.
This is from Jersey Royals own website:~
"Furthermore, when you see the name Jersey Royals, you know that you can trust you�re
buying quality, as they are the only vegetable to have Protected Designation of Origin (PDO)
status, meaning they can only be grown in Jersey. They are often referred to as the
�champagne of the potato world� by people who care about where their food comes from."
Here is full page if you want to look at it:~
http://www.jerseyroyals.co.uk/uploads/389873.p df