Whatever you read must have been from several years ago. Here's the current status from the F&W website:
NEW JERSEY:
New Jersey Division of Fish and Wildlife:
The only fish that is prohibited in New Jersey is the Snakehead Fish, and although not fish species, we do not allow blue-ringed octopi or cone snails. No one in New Jersey is allowed to possess one for any reason. If you are found in possession the fines could be anywhere from $250.00 to $5,000.00.