Yes, an invitation is possible — but only through state nomination. Hairdresser, ANZSCO code 391111, appears on the short-term STSOL list under legislative instrument LIN 19/051 (skills assessing authority: TRA) and also on the Core Skills list, but it is not on the...
On the 189 visa, what people call a “social worker” is the occupation Social Worker, ANZSCO code 272511 — an occupation on the MLTSSL whose assessing authority is the AASW (Australian Association of Social Workers). The legislative basis for this list is the...