Ah no. The EU countries have agreed, that the home country of the organization (not the country of the data subject) will take the lead in any GDPR enforcement.
Facebook in EU is registered in Ireland.
Ireland is making a mockery of GDPR, slow walking investigations while paying lip service to GDPR.
Ireland is a leech. They've figured out that they can attract global companies through very lenient tax auditing and (now) GDPR enforcement. A little tax is better than none. As such they are undermining the rest of EU when it comes to actions against companies like Facebook, Google, Microsoft.