No. However the corgi being an ancient breed dating to the Middle-Ages it is possible to find related races.
Modern breeders do not know the origin of both breeds of corgis. However, it is highly possible that the proto-corgis were imported from Flanders and had common ancestors with the Daschund. Some believe the Cardigan Corgi to be a product of the Swedish Cattle Dog, the Vallhund, which bares a lot of resemblance to the corgis both in size and overall look.