Sure, if that is what you like. I for one did not get into this field because I wanted to hire people (artificial or natural) to write the programs for me. Programming as an activity / art is what I enjoyed the most. Managing people / agents is a total turn off.

Nobody's stopping you from writing code, whether as a hobby or you find/start a company where that's valued.

But I am creating programs to manage the coding agents for me. Of course I am using coding agents to do that. It's turtles all the way down :-)