Much of New York City is either on the ocean or very close. A significant portion of Queens and Staten Island is on the Atlantic Ocean; Manhattan Island is surrounded by water and only about a half mile from the open ocean; and large parts of Brookyln are bounded by Sheepshead Bay, which is adjacent to the Atlantic Ocean.
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It is right there and that is one reason Ellis Island was established because the ships came in from Europe and they could process the new immigrants as they came off the ships.
New York City is on the coast -- at least it has salt water in the rivers when the tide comes in. Brooklyn has salt-water beaches.
It's hard to know what you mean by 'coast'.