You Do Need power plug adapter while traveling from Isle of Man to Azores.

Here is Why You Need An Adapter

The outlet and plug type used in Azores are B, C and F and in Isle of Man are C and G. This is how they look like.

Isle of Man

In Isle of Man, outlets of type C and G are in use.

Type C

Type G

Azores

In Azores, outlets of type B, C and F are in use.

Type B

Type C

Type F