I thiiiiink, lol, its a misleading name. There's no body giving the accreditation. But a brokerage would be breaking the law if they let you do it without accredited status, which is basically "be rich."
This is part of why I want stocks to become Cryptos and trade on Liquid. Everything can be automated and the rules can become unenforceable. Crypto degens can probably already do it, but I hate shitcoins and won't touch them until they make their transformation into corporate equities, which is obviously inevitable.