According to the dictionary, an "engineer" is a person who designs, builds, or maintains engines, machines, or public works.

A computer is a physical machine that runs programs which are encoded digitally on physical hardware (memory).

I could see an argument for considering a computer program to be an engineered "machine" that runs on a turing-complete computational platform. Just because a computer program is digital doesn't mean that it's not an engineered mechanism. In fact, early computer programs did run on physical hardware in a physically mechanical manner.

A doctor or lawer, on the other hand, is not building any type of machination. They are diagnosing patients and having arguments with judges. What exactly are they engineering?