The answer to 'why is my stink bug bites' is that stink bugs do not actually bite humans. While they may crawl on you, they do not have mouthparts capable of biting or piercing human skin. Stink bugs get their name from the foul-smelling odor they release when threatened or crushed, but this odor is not caused by any kind of bite or sting.
Stink bugs are considered nuisance pests, but they are not dangerous and do not spread diseases or cause any harm to humans. The best way to deal with stink bugs in your home is to seal up any entry points they may be using to get inside, and use a vacuum cleaner or other gentle removal method to capture and release them outdoors if you find them inside.