There is a way - provide random garbage via browser APIs, for example, fake GPU name, fake core count, fake IP addresses for WebRTC. But browser vendors do not want to do it. You have to compile your own browser.

Such browsers that allow you to masquerade as a different browser do exist but they are targeted at people doing social network marketing (spam and scam) from multiple accounts. Because social networks do not allow using multiple accounts from the same device. These browsers are called "anti-detect browsers" and you can find info about them on Russian underground forums.

There's only so much you can fake without breaking sites. You may be able to fake the specific elements that a site is looking at today, but it'll always be a cat and mouse game.