Absolutely. I've handled several over the years. It has always consisted of submitting a sample of the oil claimed to be defective. The company tests it, and then follows the appropriate course of action based on the results of the test. I never had one paid. A filter claim once, though. We paid for everything, new engine, towing, car rental.
Some companies advertise their warranty. You've seen them. Usually it looks like marketing, which it often is.