Entering kindergarden, in music class the teacher had a keyboard, asked the children who could play. A little girl banged out chopsticks. Another little boy picked out twinkle,twinkle,little star. My son Andrew raised his hand, and played some Beethoven sonata. The teacher asked him if he knew what that was. He told her.
He's not a prodigy. Has terrible handwriting! The 1st-grade evaluation suggested he had fine-motor issues. Yet he could play 64th-note runs on the piano endlessly. Its all because of regular teaching and fun practicing.
Kids can learn what they put their minds to. But it takes 10,000 hours not only from the pupil but from the tutor. My wife put in the time; Andrew plays wonderfully.