There’s no fundamental reason it would be impossible. Solana Labs would need to file a registration statement with the SEC (https://www.sec.gov/education/smallbusiness/goingpublic/regi...) including among other things a description of its business practices and audited financial statements.
Once they did that, you would be able to buy and sell it at any registered exchange who’s willing to list it. Coinbase, maybe, if they’re willing to accept the costs and regulations involved.