Why would it be impossible? You shoot the deer, you butcher it, you sell it in the store.
Here in Germany we have „game season“ and you can pre-order it at a lot of butcher shops or even certain supermarket chains. The orders are then basically fulfilled by local hunters and foresters, the meat is inspected like any other meat.
There are a few farms which raise venison, elk, etc. but I think due to chronic wasting disease and other issues they're rare... also your average American just isn't that eager to eat game (unless they're hunters).
Note that "wild boars", being feral hogs, are usually exempt from the meat sale laws.
> In the US it's illegal to sell wild game meat, even between private individuals.
Because I'm a pedantic sort, I'll point out that this isn't completely true. The act you link to governs interstate commerce. Individual states can set different rules that apply for sales that do not cross state lines. I live in Vermont, so I'll use that as an example I know:
Big Game:The only time it is legal to buy or sell big game or the meat of big game within the state is during the open season and for 20 days after the season ends.
The whole feral vs wild animal thing is kind of interesting once you know about it. Until a few years ago, I had no idea that most of the deer in my country are an invasive japanese species that were introduced a few hundred years ago by one guy who thought they looked cool. (as a result, hunting is pretty straightforward. Both permits and stalking wise.)
I've been wondering for a while about doves that people hunt/eat, and the much more common type of dove (rock dove/domestic pigeon) which I presume nobody wants to consume due to its diet and the whole "flying rat" taboo.
Here in Germany we have „game season“ and you can pre-order it at a lot of butcher shops or even certain supermarket chains. The orders are then basically fulfilled by local hunters and foresters, the meat is inspected like any other meat.