"Doubt that: They probably can't even carry that much fuel, let alone burn it in one hour. "
Fuel consumption and range of the Dolphin and most other aircrat are easily found online.
The USCG flies the Doplhin HH65A and says:
It carries under 300 gallons, has a normal operating range of 150 miles (150 out, 150 back) with a total of 400 miles maximum, or an endurance (stay in the air) of 3.5 hours. Which would indicate a "best fuel economy" speed around 114mph, roughly 100 knots, versus a top speed of 165 knots.
That will all vary greatly with payload (including crew weight), weather, headwinds, time spent on hover (which burns fuel quickly) and of course, whether anyone wants to violate orders by going into their reserve fuel. Do you dispatch at 165 knots, to get out quickly? Or at 100 knots, so you can remain on the scene to search longer?
NYPD has less to say about their helicopters (Bell 212 and variants like the 412EP) which are similar with more many options, Bell has a laundry list of them online. About a dozen in all. And then there are the NJSP. And the NY Guard, who are flying UH-60 military aircraft (Blackhawk, etc.) some equipped with mid-air refueling capabilities. I don't think those were dispatched to this call, some of the air rescue units may have been sent overseas. But specs for all of them are generally available online, no need to guess what they can do beyond guessing which options the NYPD bought.
Still, the port of NY is not a major target, it hasn't been a major freight hub in decades. Containerships and, ah, the lack of Teamsters, took that business over to NJ. NY is still a target rich environment, but other than storming and toppling the Statue of Liberty? Not so much to do here. The media speculation about "swatting" aka simple hoaxing by nutjobs, seems more likely. Why would a raghead take a chance on drawing attention, or getting caught making a hoax call, when all the "response" information they need can be found for free? How does the old joke go, "I may be crazy but call call me stupid" ?