Yep. This is called a commercial license.
What people who want such things really are after is the leverage to dictate a form of morality - if you dont have money, you are allowed to use the project for free, and give back advertising/clout. But if you have money, or could get a lot of money for said project, then they want their pay day.
Such licenses exist. They're just not Free or Open Source. They can't be, by definition.