Well, depends on how you want to define a "sea coast".
New Orleans has some major port areas, but it's not directly on an ocean; it's got the Gulf of Mexico on its border, and there's also the Mississippi River. Connecticut isn't directly off of the Atlantic Ocean, either. It's got this massive pile of dirt and rocks (known as "Long Island") between it and the Atlantic, but it does border on an estuary known as the Long Island Sound.