No. Captain James Cook died nine years before Australia was colonised.
James Cook was 42 years old when he first visited Australia.
Million years
35 years
it took him 12345t6y7ui8u7ytrwe3 years
Captain Arthur Phillip was 49 years old when he arrived in Australia. He turned 50 in October of 1788, the year the First Fleet arrived.
1.6 million years ago.
russia and america
60-85 million years ago.
Captain James Cook did not bring disease to Australia. However, when Europeans settled here permanently, some 18 years after Cook claimed the eastern half of the continent, they certainly brought previously unknown diseases to Australia.
Australia separated from Antarctica around 85 million years ago during the breakup of the supercontinent Gondwana. This separation gradually led to the formation of the Southern Ocean and the distinct landmasses we recognize today as Australia and Antarctica.
James Cook (not a captain a this stage, but a Lieutenant) explored the eastern coast of Australia in the HMS Bark Endeavour. He did not 'find' or discover Australia, as the Dutch had already discovered the land over 150 years before Cook arrived.