No. For example, Inuit Greenlanders, who historically have had limited access to fruits and vegetables, have the worst longevity statistics in North America. Research from the past and present shows that they die on the average about 10 years younger and have a higher rate of cancer than the overall Canadian population.1
Similar statistics are available for the high meat-consuming Maasai in Kenya. They eat a diet high in wild hunted meats and have the worst life expectancy in the modern world. Life expectancy is 45 years for women and 42 years for men. African researchers report that, historically, Maasai rarely lived beyond age 60. Adult mortality figures on the Kenyan Maasai show that they have a 50% chance of dying before the age of 59.2
We now know that greatly increasing the consumption of vegetables, legumes, fruits, and raw nuts and seeds (and greatly decreasing the consumption of animal products) offers profound increased longevity potential, due in large part to broad symphony of life-extending phytochemical nutrients that a vegetable-based diet contains. By taking advantage of the year-round availability of high-quality plant foods, we have a unique opportunity to live both healthier and longer than ever before in human history.
1. Iburg KM, Bronnum-Hansen H, Bjerregaard P. Health expectancy in Greenland. Scand J Public Health 2001;29(1):5-12. Choinere R. Mortality among the Baffin Inuit in the mid-80s. Arctive Med Res 1992;51 (2):87-93.
UPDATE: The above links are dead, refer to this link: http://www.who.int/countries/ken/en/