You shouldn't have any trouble catching a cab no matter where you exit NYP. If there is no taxi stand where you come out just hail one.
There are designed taxi stands in the area, and drivers are required to use them. If a cab driver just randomly picked up people on that block bypassing the taxi stand, I think there are plenty of monitors there who will report the driver. There would other drivers who might come out to chew the driver for line jumping as well as other passengers waiting in line and pissed that someone jumped ahead of them.
Not saying you were suggesting that anyone just try to hail a cab anywhere, but that the OP shouldn't be surprised if there aren't some places where cab drivers won't stop because they're required to use the taxi stand.