Only if you mean trading on a stock exchange. Genuine cryptocurrency transactions are peer-to-peer and don't rely on the SEC or other government bodies for approval. As such, trading cryptocurrency is unstoppable.
But for Crypto's to be accepted as a credible asset, It needs the stock exchange.
Credible to whom, exactly? The very fact that these companies are seeking permission to launch a Bitcoin ETF means they already see it as a credible asset. And naturally all the people using Bitcoin peer-to-peer as intended already see it as a credible asset.