You Do Need power plug adapter while traveling from Abu Dhabi to Cayman Islands.

Here is Why You Need An Adapter

The outlet and plug type used in Cayman Islands are A and B and in Abu Dhabi is G. This is how they look like.

Abu Dhabi

In Abu Dhabi, outlets of type G are in use.

Type G

Cayman Islands

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

Type A

Type B