Fingerprinting works by collecting bits of information about the browser and device to identify users. Couldn’t browsers see when a website gets such info with JS and either prevent or ask permission from the user for the website to make HTTP requests to upload such information to the website. Idk if they do something like this already.
No, there is no way to prevent sites from uploading the info besides just not providing it in the first place.
And because of how programming languages work, there’s no way for the browser to identify that data being uploaded “is” anything specific, especially when there’s things like encryption, obfuscation or just re-arranging the data itself into larger collections of data.