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.
"writing fiction in America as we enter the twenty-first century is no job for intellectual cowards. There are lots of would-be censors out there, and although they may have different agendas, they all want basically the same thing: for you to see the world they see… or to at least shut up about what you do see that’s different." - Stephen King