I've wondered recently: can everyone learn to code?

The prideful egotistic elitist on my left shoulder whispers "No"; while the hopeful inclusive optimist on my right shoulder answers "Yes, of course!"

I definitely think anyone could learn to code. Or said another way, there seems to be no correlation to race, gender, country, family or educational background and a person's ability to code. But could everyone? Are there people who can code and those who can not?

Or are the desires to become a programmer distributed in a way that "can" and "can't" become indistinguishable from "will" and "won't"?