We probably could - but people don't like it, and some huge percentage of everyone would be various "mutts".
But the whole arena is fraught with the risk of disaster. It's apparently OK to admit that a group of people are likely to be better at X because they're on average taller, but going further gets very dangerous.
On the other hand, it could help people look beyond race and instead look at other traits like athleticism, math proficiency, wordsmithing, artistry, endurance, high altitude adaptation, seamanship, gift of the gab, etc…
But the whole arena is fraught with the risk of disaster. It's apparently OK to admit that a group of people are likely to be better at X because they're on average taller, but going further gets very dangerous.