The answer seems to be yes if you judge the ships in the area around where the Atomic bomb was exploded. Direct hits excluded. But your survival seems not very likely. On 25 July 1946, the United States conducted the first-ever underwater nuclear explosion. Test Baker, detonated at the Bikini Atoll in the Pacific Ocean, was the fifth of over 2,000 nuclear explosions conducted to date. Of these, only a few were underwater explosions, carried out mainly to assess the damage to ships and submarines. The Baker device was suspended under a ship around 30 metres below the sea surface and yielded 23 kilotons. The objective was to assess the effects of a nuclear explosion on a fleet of ships and on animals. Both tests were part of the ‘Operation Crossroads’ that involved some 42,000 personnel, 242 ships, 156 airplanes. Most of the ships and boats survived bat anyone aboard would have died from either the explosion or radiation exposure. All ships had to be sunk as they were to radioactive to handle even after extensive scrubbings and washdowns.