Yes, you can absolutely use Adobe Express Premium images for your board game commercially! Just keep a couple of things in mind.
The key rule is to design with the images, not just copy them.
They need to be part of your composed artwork; add your own creative elements, typography, and game design on top. You can't pull a raw stock image and use it as it is. As long as your board game artwork is an original composition that includes the image, you're good.
Also, quickly check for the "Editorial Use Only" flag before using any image, those ones (usually featuring recognizable people, brands, or landmarks) are off-limits for commercial products.
And if you're planning a print run beyond 500,000 copies, you'll want to look at upgrading to an Enhanced or Extended license through Adobe Stock.
For the full details, here are the most useful Adobe resources to reference:
Hope this helps!