You Do Need power plug adapter while traveling from England to Curaçao.

Here is Why You Need An Adapter

The outlet and plug type used in Curaçao are A and B and in England is G. This is how they look like.

England

In England, outlets of type G are in use.

Type G

Curaçao

In Curaçao, outlets of type A and B are in use.

Type A

Type B