These are two different pursuits, requiring different tools. Some people have pointed to trail runners, because they fit both keywords, but in all likelihood, these are not what you need, unless you really are trail running. I recommend two different pairs of shoes.
In general, hiking boots are built towards durability, weatherproofing and support, and trail runners are built to be lightweight, and allow motion, while still being somewhat durable, basically a beefed up running shoe. If you’re hiking with any kind of weight, or through anything but the most gentle and dry trails, a trail runner is not the ideal shoe for you. Running shoes typically will serve you better for most running endeavors, and a trail runner would be beefier than you need, and you’ll pay extra for the specialization.