My understanding with regards to swine import laws- and I'll be talking about just the U.S. here, since that's the limit of my knowledge- is that it operates on two levels: State and federal. (
This is of course ignoring county/city limitations on animals... that's a bit too pedantic for my taste. I can't imagine you're trying to rear a bunch of bearded pigs in the suburbs.)
There are three air/ocean ports capable of swine inspection in the US: One in Los Angeles CA, one in Miami FL, and one in Newburgh NY. There are 4 land border ports allowing entry of swine from Mexico and 9 allowing entry of swine from Canada. All of the swine entering the US have to go through one of those sixteen points of entry. The 13 border locations have inspection facilities, and the remaining 3 sky/sea ports have both inspection and quarantine facilities. All locations are managed by APHIS.
But further than that, there's only a very limited number of countries from which imports are permitted. You can browse the list
here. You'll note that not only live swine import is regulated- swine semen, embryos, and cloning tissue are also cracked down upon. Some countries are absent from the list presumably because swine import just.... doesn't really happen from them. Just skimming the list, imports of some variety are currently allowed from:
- Austria
- Belgium
- Canada
- Denmark
- Finland
- France
- England, Scotland, and Wales
- Ireland and Northern Ireland
- Luxembourg
- Malta
- Netherlands
- Norway
- Portugal
- Slovenia
- Spain
- Switzerland
Not very many at all- and you'll note a trend: It's basically all Western Europe, with very few exceptions. Unfortunately, this excludes basically all native ranges of wild boar species, including the bearded pig. Even in the rare instances where a wild boar might be found in one of those countries, the import of feral pigs is strictly prohibited. No feral pigs, no wild boar, no hybrids. The Minnesota Zoo is currently struggling with this; they haven't been able to get new Wild Boar on-exhibit and have had to replace them for the time being with (beautiful, but not thematically fitting) Mangalista.
State-to-state regulations vary. I'm most familiar with Minnesota's requirements, which necessitate incoming swine to be moved under an "approved swine production system health plan", and then either moved directly to slaughter at a facility under federal inspection, or consigned to a state-federal approved livestock market which move directly from farm of origin. Your state's board of animal health (or equivalent) is probably the place to look if you're interested in your state laws.
Things are so tightly regulated for two reasons. One, like you've pointed out, is that swine pose a disease risk to humans. We view them as "mixing bowls" for influenzas. There are some influenzas that birds are most susceptible to, and some that mammals are most susceptible to; both avian and human strains have their strengths and weaknesses. Swine are generally susceptible to BOTH avian and human influenzas, and provide a platform for a virus to mingle and mutate, taking on the strengths of both strains and becoming highly virulent, highly dangerous pathogens.
The second, though, is that the import of ANY swine disease could be really dangerous for our domestic swine production. The U.S. produces ~11% of the world's pork, with pork exports alone being worth 7.7 billion USD in 2022. Pork is the most widely-consumed protein globally. Basically: It's important! Regardless of how you feel about the ethics of modern farming or meat consumption, an awful lot of folks depend on pork for nutrition. If even one foreign swine virus hit a US pork farm, there would be a massive hit to the US economy and to global food supply. African swine fever is of major concern here.
A tertiary smaller concern is feral hog populations in the US wilds; they're a destructive and dangerous threat. They spread disease, hurt the environment, cause property damage, and can cause direct bodily harm to humans- and on top of all of that are really hard to
stop. They're hardy, strong, and mean.
tl;dr swine import is really tightly regulated and i wouldn't hold my breath on any imports anytime soon.
I'm looking at You Taronga and AZA C'mon bring them back (Taronga so I can see one but AZA for you Guys) I can't post the picture cause I don't own it 
