Does the property have the right to prevent the owner from opening a supermarket in the community?

Owners do business in the interior of the community, and the property itself has no right to interfere.

However, according to national laws, private individuals must obtain relevant licenses to conduct business activities. The property can check whether you have the operating conditions and complete licenses. The license is complete, and the property can't control you. Without a license, it is illegal to operate, and this property can be managed.