Compatibility summary
You will need a travel adapter in Faroe Islands; plug types used there differ from Australia.
Plug comparison
Australia plug types: I
Faroe Islands plug types: C F K
There is no common plug type between Australia (I) and Faroe Islands (C F K). You need a travel adapter.
Voltage comparison
Australia: 230V, 50Hz
Faroe Islands: 230V, 50Hz
Voltage difference is within a range many devices tolerate; check your appliance label.