You Do Need power plug adapter while traveling from England to Saint Kitts and Nevis.

Here is Why You Need An Adapter

The outlet and plug type used in Saint Kitts and Nevis are D and G and in England is G. This is how they look like.

England

In England, outlets of type G are in use.

Type G

Saint Kitts and Nevis

In Saint Kitts and Nevis, outlets of type D and G are in use.

Type D

Type G