Is Hawaii Part of Australia? No—It's a U.S. State in the Mid-Pacific

No. Hawaii is the 50th U.S. state, located in the central Pacific Ocean ~3,850 km (2,400 mi) from the North American mainland. Australia is a sovereign continent-country in the Southern Hemisphere, ~8,000 km (5,000 mi) southwest of Hawaii. The two share no political or geographic connection.