Not true. Chimps, our closest relative, eat meat which means our common ancestor also ate meat. So not only have humans been eating meat before cooking, our ancestors going back millions of years also ate meat. Also, human populations, like the inuit, eat meat without cooking. It's quite a task to start a fire in the frozen arctic. Anthony Bourdain had a show on the inuits a a while ago. And that's not including human populations throughout the world that eat insects/etc.
Cooking is what allowed humans to eat more meat and more efficiently, but it's absurd to claim humans only started eating meat after learning to cook.