If you look at Finland, the answer seems to be yes. Finland has some of the highest test scores in the world. There is no one more surprised at this than Finland. They aren’t worried about tests or grades or measurements or performance. Their education is based around one principle: equality.
Starting from the top, there is no such thing as a private school. No one pays tuition. Your billionaire’s son gets the same education as your pauper’s daughter. Students are fed and both their physical and mental health is taken care of. Early education is based more around creative play than tests, lessons, and homework. Teachers are required to have a masters degree. They are well paid and well respected. Principals are expected to root out problems with teachers and fix them. This combination apparently allows students of all backgrounds to thrive.
Education is the great equalizer. We owe it to our children to have an equal education regardless of background. This, unfortunately, is anathema to the American experience so it will likely never happen.