Were the two fleets of Kublai Khan, which were made to invade Japan, destroyed by kamikaze?

The Kamikaze (神風, Japanese for divine wind), were two winds or storms that are said to have saved Japan from two Mongol fleets under Kublai Khan. These fleets attacked Japan in 1274 and again in 1281. Due to growth of Zen Buddhism among Samurai at the time, these were the first events where the typhoons were described as "divine wind" as much by their timing as by their force. Since Man'yōshū, the word kamikaze has been used as a Makurakotoba of waka introducing Ise Grand Shrine.

The name given to the storm, kamikaze, was later used during World War II as nationalist propaganda for suicide attacks by Japanese pilots. The metaphor meant that the pilots were to be the "Divine Wind" that would again sweep the enemy from the seas. This use of kamikaze has come to be the common meaning of the word in English.