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

Here is Why You Need An Adapter

The outlet and plug type used in Dominica are D and G 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

Dominica

In Dominica, outlets of type D and G are in use.

Type D

Type G