"Plots and hooks yield the same desideratum: they set the reader a question, with the implicit assurance that the question will be answered." - Martin Amis
Is there a way to cultivate curiosity? To start with, you want to avoid situations that suppress it. How much does the work you're currently doing engage your curiosity? If the answer is "not much," maybe you should change something.
The problem is, of course, that you cannot simply decide to care about something. If you do not care about something, your will cannot simply establish a caring relationship to that thing. It is rather a question of being open to possibilities of caring