An article in USA Today thinks so, although it does recognise that there is no such thing as one diet for the peoples who live around the giant in-land Mediterranean Sea.
With twenty-one countries whose shores are lapped by the Med there is a diverse range of foods consumed. But as the article points out that after years of research and evidence, a plant-based diet with a focus on unsaturated fatty acids is incredibly good for overall well-being, and that is a common factor across the region.