Not really. Sites can block ChatGPT crawler, but for invidiual users whose data is stored on 3rd party sites is out of luck. You would need to ask those sites directly to remove your data so that ChatGPT would have nothing to scrape.
It depends on what data do you believe chatgpt is scraping. What data are you worried about in particular and where do you live? (these info are needed to give you suggestions in case)
I’m not worried specifically. I’m worried my interests and text from the past will be leveraged against me if and when I am forced to interact with a ChatBot. Assuming there’s a rich profile that has everything from eye tracking in Vr, wearables, YouTube, Facebook, twitter history/interests etc. I don’t want have a fucking team of psychologists with a detailed profile along with fucking supercomputers attacking me with perfect and convincing communication trying to sell me shit and vote in particular ways of who ever is driving them.