That seems to be the case in our family. The term refers to a rather well studied pattern of neural and hormonal changes, such as a massive release from the adrenal cortex. The best known student of this pattern is Hans Selye. If the response is repeated enough or prolonged enough, it exhausts structures like the adrenal. Another well-studied pattern of changes then follows.
Insomnia is part of both the arousal and burnout phase of the whole stress response.
I have known narcoleptics whose conditioned insomnia had to be dealt with before their narcolepsy could be successfully treated. Fortunately, there are several ways to treat conditioned insomnia. In one court case a narcoleptic nurse charged that a builder had made her symptoms worse by violating her legal rights and exploiting his knowledge of her narcolepsy in an outrageous manner. My role in the case was to demonstrate in the laboratory that she had a level of impairment she had not had before her experience with the builder. Many laboratories and sleep experts might be able to do the same.