I can imagine the reactor shell itself surviving intact, but as with Fukushima, loss of the secondary cooling system (and its power supply) could well have resulted in a runaway reactor situation followed by a hydrogen explosion blowing the cap off, again as with Fukushima.

It might not have impacted NYC though, I just checked and the exclusion zones would likely have been well outside NYC city limits, but still, an epic disaster would have been the likely outcome.

Nuclear reactor security has been increased since then, but they're a major target today.