Engineering is something you calculate and get expected results with some acuracy. E.g building a bridge without trials and errors (hopefully). I would prefer prompt “tailoring” which is more like you start with something general and try to fit it to your desired output with many many trials and errors.
It's more like "social engineering" and other uses of the word which don't directly deal with engines, which is what "engineer" used to mean. For example, Google lists one of the definitions as "the action of working artfully to bring something about".