Yes, it is possible. A state may take legal or administrative action against a business that fails to meet registration requirements. The type of action depends on the business, the registration or licensing issue, and the laws in your jurisdiction.
Not every registration problem results in legal action. In many cases, a business is first given an opportunity to correct the issue. However, if required registrations are not completed, the state may pursue additional enforcement measures, such as administrative fines, suspension or revocation of licenses or registrations, administrative dissolution, cease-and-desist orders, injunctions, or other remedies authorized by state law.