Few Allied biplanes operated in the naval strike role in the Pacific. The British were the only ones who flew them, and they only saw service in 1941-42. The Fleet Air Arm operated the Fairey Swordfish and Albacore from its carriers, while the RAF also operated the Vickers Vildebeest from land bases. None of these aircraft ever made a successful attack against a Japanese capital ship. During the fighting on the Malay Peninsula in December 1941, the RAF made a number of unsuccessful attacks on Japanese invasion shipping, with its biplanes suffering heavy casualties to Japanese aircraft and flak. The FAA nearly made a night strike against the Japanese carrier force during the Indian Ocean Raid in April 1941.

The Japanese carriers were mostly sunk by American monoplane carrier aircraft, or by submarines. Their largest carrier, the Shinano, was sunk by the submarine Archerfish in November 1944. Their battleships suffered similar fates. The giant Yamato and Musashi were sunk by massed aircraft; the former during the Battle of Okinawa in 1945, the latter during the Battle of Leyte Gulf. Your story is, however, reminiscent of stories told about the German battleship Bismarck. She was attacked by British biplanes on two occasions, with the aircraft ultimately scoring a torpedo hit that jammed her rudder. This damage allowed British battleships to catch and sink her. It is often claimed that the British biplanes flew too slowly for the German gunners to hit them, but as I showed here, this is unlikely. It's also worth noting that the British torpedo bombing approach was a relatively high-speed approach (involving a dive from 5000 feet) and involved rapid changes of altitude and direction to avoid fire, making it less likely that the slow speed of the Swordfish was a factor. /u/DBHT14 and I also covered the reasons why the British used the Swordfish in this attack here.