Yes and no.
Basically....life started in Africa. East Africa. Then waves of humans left Africa in separate groups. One group went to the Middle East. Then from there, another group split off and went to India. Then from there a group split off and went further into Asia, the Pacific Islands and Southeast Asia. Then from there a group broke off and went north to the Beiring Strait, crossed it and came down into Alaska and the rest of the Americas. Then all the way back in the Middle East, another group splintered off from them and went west into the Caucus Mountains and later Europe to later become "Europeans". The Australian Aborigines are the group of people that ventured into Southeast Asia and created water rafts that carried them across the islands until they reached Australia. The climate and foods of Australia allowed them to keep their dark pigmentation which was similar to Africa and the people they left. Australia was also pretty remote and there was no outside gene flow to change their genetic makeup (i.e. mixing). But...there's like 50,000 years between them and their most recent African relative. Saying they're "Black" is like saying that my descendants and my brother's descendants are still siblings 50,00 years from now.