I mean, technically you can write the goals of the company into its charter as whatever you want. It doesn't need to be money/growth/etc. And you could, technically, find investors who will back that goal with their money. And you could, provided you jump through the relevant hoops, take that company public. I'm not sure what restrictions exist on the markets, but I don't think there's anything technically stopping someone from creating a non-profit-oriented public company.