The answer is quite simple: no. What is going to happen, instead, is that "computer programmers" are going to become "AI programmers."
Nobody doubts that AI is becoming much better at programming every day. And it is an established fact that, eventually, AI-powered tools will be much better than humans at coding. But machines aren't going to become independent from humans anytime soon, and being able to create useful and practical code spanning more than a few lines is something that will require a level of intelligence that is close to the famous singularity.