Yes, but claret was not grown in England, despite it being one of the most popular drinks there in the Middle Ages - for those who could afford it.
It was from Aquitaine, i.e. Southwest France, which was a fief of the English King for centuries. Thus, while not being techniclly part of the Kingdom of England, both territories had strong economic ties to each other.
English wines were considered very good, too, during the Medieval Climate Optimum, but they were mostly white, as far as I know.
White grapes, actually, can abide slightly cooler climates than red ones, and they can even benefit (when growing-conditions are right) from the weather not being too hot.
There are also strong economic ties between the UK and Portugal, and several of the big port houses were started by Brits/Scots. Cockburn’s, for instance, was started by a Scot who’s been there with Wellington fighting the French during the Napoleonic Wars. Sandeman, Dow, Taylor, there are several others that fall into this category.