You Do Need power plug adapter while traveling from Faroe Islands to Hong Kong.

Here is Why You Need An Adapter

The outlet and plug type used in Hong Kong is G and in Faroe Islands are C, E, F and K. This is how they look like.

Faroe Islands

In Faroe Islands, outlets of type C, E, F and K are in use.

Type C

Type E

Type F

Type K

Hong Kong

In Hong Kong, outlets of type G are in use.

Type G