The answer is: No.
I asked Chief Nigro about this, and he was kind to respond very quickly. What he said was basically this:
Originally Posted by Chief Nigro
He also once reminded again, that as we all know, he would not have needed the approval of Silverstein to make the evacuation order. So, whoever Silverstein is talking about getting the call from, it is NOT Chief Nigro.
An interesting twist to the story. Wonder what the truthers are going to make of this