You Do Need power plug adapter while traveling from Chile 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 Chile are C and L. This is how they look like.

Chile

In Chile, outlets of type C and L are in use.

Type C

Type L

Canary Islands

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

Type C

Type E

Type F