No. The two breeds are distinct from each other, even if they do look very similar and undertake very similar activities.
Both breeds are suspected of having originated in Spain, although this has not been fully established, What is known is that the Cocker spaniel was bred and used specifically for the hunting and flushing of Woodcock ( which is a native game bird in the UK ) and this is how the dog gained it’s name.
The Springer, on the other hand, being a larger dog was used for more all round and general purpose hunting of game, which included ground game and birds – it was known as the ‘springing spaniel, as it ‘sprung’ the game into flight which was then often caught by a trained hawk.
Nowadays both breeds are widely used as shooting and hunting dogs both in the UK and further afield, often working alongside each other and other gun dog breeds.