Yes, people do eat mosquitoes in some parts of the world.
While it's not a widespread practice, there are regions where mosquitoes are harvested and consumed, often as a source of protein. The referenced YouTube video mentions that in the Great Lakes area, millions of mosquitoes are harvested and transformed into food sources, such as mosquito patties. These patties are described as being rich in protein, fiber, and vitamins.
Therefore, while not a common food source globally, mosquitoes are indeed eaten by people in specific locations.