You Do Need power plug adapter while traveling from Namibia to Swaziland.

Here is Why You Need An Adapter

The outlet and plug type used in Swaziland is M and in Namibia are D and M. This is how they look like.

Namibia

In Namibia, outlets of type D and M are in use.

Type D

Type M

Swaziland

In Swaziland, outlets of type M are in use.

Type M