I mean this in the sense that aboriginal is an adjective meaning indigenous, so you can have North American aboriginal people, Asian aboriginal people...
Were there tribes with individual names or a name the people used to refer to themselves themselves like Lakota, Ute, Maori, Sami etc?
/u/wilkor wrote an answer to a similar question on /r/AskHistorians that might be of assistance until someone responds to yours, "Why are Australian Aborigines called aborigines?"