Yes, the production of oil is already affected because of the war in Middle East. There are a lot of countries who do not want to supply oil anymore or there is no one available in order to get oil from anymore. This has made the price of oil increase because there is still a lot of demand and not a lot of supply available.
It is surprising that it was actually the first World War that sparked the production of oil. It was after the first World War when people realized the real need for petroleum because of the new and high-tech gadgets (at that time) that they were using. Years later, petroleum is still being used.