Yes.
This was the first real demonstration that the Nazis were not unstoppable. It was a magnificent achievement for the British bearing in mind they had 700 Spitfires and Hurricanes in the RAF compared to the 2500 Luftwaffe aircraft. This shows great resiliance and bravery.
Hitler's morale would have taken a serious dent; and the morale of the British and all other Europeans would have been lifted.
And remember, Hitler's aim was to conquer Britain, the last stand in the West of Europe. He did not achieve this, and now he was fighting the war on two fronts, which was really the decisive factor for the war. Britain was always in a good position to launch an attack, as D-Day showed.
It was also a turning point as Hitler made a mistake. Though the RAF were fighting bravely, the Luftwaffe would have won in the long run be sheer force - 300 RAF pilots were killed in the months of the battle, and only 200 newly-trained pilots were there to replace them. Had the battle continued, the Luftwaffe would have won just by numbers.
But Hitler called off the bombing of the airfields and ordered the Luftwaffe to bomb the towns and cities; particularly London. This was because the RAF had bombed Berlin. Hitler got his revenge during the Blitz; but to eventual great cost - had the RAF been destroyed, Britain would have fallen, and Hitler probably would have won the war.
This post has been edited by Mr. D. Bryant: 25 October 2011 - 08:21 PM
Reason for edit: Change spelling errors