Blocking of numbers is for an individual owner of the device , if the family organiser has created a family sharing see this article Family Sharing - Apple Support
They can locate the missing devices , and blocking of family member is done individually see this article Block phone numbers and contacts on your iPhone, iPad, or iPod touch - Apple Support
So , when the family organiser blocks his phone it will be blocked for himself and it will not effect other members , same is applied for other members ( they can also block if they desire ) .
And the simple answer for your question is " no " .