Yes, because infrastructure, subsidies, education and social spending still need to happen and not paying your taxes will erode those things long before they stop a genocide. If you don’t care about getting in trouble with your government, there are more effective things that can be done.
LLMs work by always predicting the next most likely token and LLM detection works by checking how often the next most likely token was chosen. You can tell the LLM to choose less likely tokens more often (turn up the heat parameter) but you will only get gibberish out if you do. So no, there is not.