One meaning of “to engineer” is: to arrange cleverly and often secretly for something to happen, especially something that is to your advantage or skilfully

One meaning of “to engineer” is: to arrange cleverly and often secretly for something to happen, especially something that is to your advantage or skilfully arrange for (something) to occur or to contrive or plan out, usually with more or less subtle skill and craft (from various dictionaries) This is the sense in which terms like “social engineering” and “prompt engineering” are meant, and it’s a perfectly fine and correct use of the word.