That does not preclude anyone from filing regarding violations of the state constitution. There's that whole right to address ones grievances that gets in the way.
Unfortunately, it does.[1] See the Supreme Court decision in Cellco Partnership d/b/a Verizon Wireless v. Hatch. [2] FCC-regulated entities are not subject to state consumer protection laws.
[1] https://www.wileyrein.com/practices-federal-preemption.html [2] http://sblog.s3.amazonaws.com/wp-content/uploads/2012/12/11-...