No. The People’s Rights Amendment applies to corporate entities and has no application to voluntary associations and does not change constitutionally protected freedom of association. People are always free to associate with others to promote their speech or engage in political activity.
The People’s Rights Amendment simply means that if we the people decide through our legislatures to authorize corporate entities and create advantages for such entities, we may also limit the misuse of those entities for political purposes. The People’s Rights Amendment does not apply to groups that are not corporate entities, nor does the Amendment prevent Congress or the States from allowing corporate entities to engage in political activity or “speech” if that’s what our legislatures decide to do. The Free Speech for People Amendment simply overrules the idea that five Supreme Court Justices can prevent the people from making choices about what corporate entities may do.