You Do Need power plug adapter while traveling from Liechtenstein to Canary Islands.

Here is Why You Need An Adapter

The outlet and plug type used in Canary Islands are C, E and F and in Liechtenstein are C and J. This is how they look like.

Liechtenstein

In Liechtenstein, outlets of type C and J are in use.

Type C

Type J

Canary Islands

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

Type C

Type E

Type F