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

Here is Why You Need An Adapter

The outlet and plug type used in Switzerland are C and J 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

Switzerland

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

Type C

Type J