http://www22.verizon.com/local/new-york-fios/ Google search term: verizon fios nyc. Put Manhattan in the search box on the map. Looks like a few hundred buildings in a 1 mile radius from the center of Manhattan.
What? http://i.imgur.com/r6ZJny0.png Looking at that map, it's not clear at all that Manhattan doesn't have coverage. And this is only what's within a two mile radius of the center.
FiOS in NY is expanding very slowly (not just in Manhattan but in all 5 boroughs). Staten Island got more coverage than most, because it's less urban. Constructing in the middle of the city is always way more expensive, and Verizon is not rushing to do it.