Yes and no. No, state's cannot e.g. discriminate on the basis of race by allowing corporations only composed of certain races. States also cannot infringe on t

Yes and no. No, state's cannot e.g. discriminate on the basis of race by allowing corporations only composed of certain races. States also cannot infringe on the right to assemble or speak, by prohibiting people from supporting political candidates when they are organized as such a group. But, generally, yes. States can require that the owners / members / corporate books / etc. of a company be disclosed publicly. If owners don't want their books disclosed, then they can forego the immunity that the corporate forms provide.