Is There A Transit or Bus Service to New York City Pen Station.

100% best answer. Beat me to it !

Shortline Bus to NYC Port Authority or Taxi or Uber to Rock Tavern NY get Metro North to NY Penn Station

There is a buss service from norwegian i believe. IT gies direct to the NYT busstation close to times square. From there its probably a metro can take you anywhere... I think IT needs to be prebooked maybe.