No. The Geek Squad Black Tie Protection plans cover nothing to do with installations. The warranty only covers the item itself and covers the cost of the parts and labor to fix or replace the item if it ever quits working. The car audio installer may look at your system as a courtesy to you, but unless GS installed the system, they are under no obligation to do anything for free.
Nothing I post is an official statment of Best Buy or Geek Squad, it is only a helpful opinion!