Of course you can. You can't put "organic" on the packaging. But it's perfectly legal for Organic Candies, LLC to sell artifical candies or battleships for that matter.

The "hot" take around OpenAI's name is a joke gone stale. We don't expect royalty at Burger King. Nobody gets upset Adobe won't sell you mud bricks. And Apple has never sold a fruit. Sometimes companies change their names when their trade changes, e.g. 3M. But there is no obligation to, particularly if the brand is well known.