Possibly. Whether a business can be shut down for operating without registration depends on the type of business, the registration or licensing requirements involved, and the laws in your jurisdiction. Some businesses may be allowed to correct registration issues, while others may face penalties or restrictions until they comply with applicable requirements.
Operating without proper registration does not automatically mean a business will be forced to close. However, failing to meet legal requirements can lead to enforcement actions (such as administrative fines, suspension or revocation of licenses or registrations, cease-and-desist orders, administrative dissolution, injunctions, or other remedies authorized by law) if the issue is not addressed. Whether a business can actually be forced to cease operations depends on the governing statute, the agency's authority, and the specific facts.