Learning a musical instrument is hard work, but yes anybody can learn to play on an intermediate level. It takes zero talent to do that, but hours and hours of practice with a metronome.

"Able to play the piano" means you can look at a lead sheet with chords on it and play basic accompaniment to a melody. That's not difficult at all once you've learned how to do it.

I would say "able to program" means you can take an arbitrary set of feature requirements and write a program that fulfills those requirements.