Not in meaningful quantity. It would bet that the median time since a typical Westerner last had wild mammal could be measured in months if not years.
I expect the statement in born from the misconception that "game" meat as found in restaurants and for sale is from wild animals, when it is actually farmed.
At least in germany.
My father is also a hunter.
Its looks like this: https://www.google.com/search?q=jaeger+deutschland&tbm=isch&...
If we assume that about the bison and venison I have had over the years, it has been at least over a decade for me. Not sure if we farm muskrats.
Enough wild meat to introduce a new Virus and pandemic though.
How many species of fish will go extinct before we figure this out. Fish used to be very common(look at the stories of the colonists coming to North America). Also, people are still eating bluefin tuna, it's endangered.
Game is typically much healthier as a food source than domesticated animals; this includes wild-caught fish vs. farm-raised fish.