I pretty much guarantee you that I can do it, I have not found someone that I could not teach how to write code.
Desire is the key here, ability is very much overrated, but hey, it makes 'us' feel special right?
What about lawyers, do they get to feel special? Engineers? Mathematicians? Bookkeepers?
Really, it's just a matter of degree, and just like everybody (except for the rare case of tone deafness) can learn to sing to their ability everybody can program to their ability limited by how much time they put in and how motivated they are.
Nobody here was 'born a programmer' we became programmers by applying ourselves to a series of problems of increasing complexity, if you compare you 'the programmer' with 'you the 4 year old' then for sure there are differences there but they are very much about learning and not about innate ability.