That something is composed of particles with charge does not mean it itself has charge. For instance, that a neutron is composed of quarks does not imply it will have charge (since the net charge is 0).
The only instance in which a supramolecular structure can have a net charge that is not 0 is when it contains electrons which are not evenly distributed. Since there is no supramolecular structure with electrons that are evenly distributed, there is therefore no supramolecular structure which has a net neutral charge (ever).