Absolutely not. I have excavated archaeological sites throughout the Great Basin, managed a lab that did dietary analysis of shell midden site from the west coast of the United States, worked for the National Park Service in the southwest, and excavated sites in Peru. During the decade that I worked as an archaeologist, I have looked at hundreds of sites in detail and many of them strictly from a dietary perspective. The data indicated that when food was plentiful (this was from data from the west coast of the US), populations could boom, until some events caused the population to bust. These people were not able to withstand the weather/climatic changes in large numbers and their population didn't truly increase dramatically until well into the Holocene (and then only during the last several thousand years). By that time, people were farming, because, I suppose, in part that they wanted to have a stable diet.
I have encountered many people who fall into a romanticized view of what times were like during paleo and archaic times. No archaeologist can tell you what those times were truly like, but what we provide is a narrow snapshot of what their life was like dietarily, physically (in the presence of what type of tools they made/used), and biologically, when we can actually study the human remains (thanks to NAGPRA that isn't very often). In the evidence that I have seen, people didn't live as long and died of things that are easily preventable now. One of those things is malnutrition.
But those who believe that having to eat vegetation that has little to no nutritional value during leans times and not being exposed to the wide variety of essential minerals that a modern varied diet provides, can continue to believe what they want. I am going to continue to enjoy a varied diet, which today includes: homemade bread, homemade duck confit, roasted potatoes, and a salad with vegetable/fruit that are not in season here in Wyoming.