The Rutger’s new Jersey Agricultural Experimental Station website has a fantastic “FAQ” (Frequently Asked Questions) page about these annoying and invasive pests: https://njaes.rutgers.edu/stinkbug/faq.asp
One specific FAQ that caught our eye was the below (italics ours):
“Do brown marmorated stink bugs have any natural enemies (predators and parasitoids) in the United States?
Yes. Since the brown marmorated stink bug is not native to the United States it is unlikely that its natural enemies came with it when it was introduced into the country. However, there are various native natural enemies that do feed on brown marmorated stink bugs including predatory stink bugs, assassin bugs, and two egg parasitoids. Unfortunately they attack many species of insects. Because of this they are unable to control the brown marmorated stink bug at this time.”
[Photo: Rutger’s Extension]