You Do Need power plug adapter while traveling from Puerto Rico to New Caledonia.

Here is Why You Need An Adapter

The outlet and plug type used in New Caledonia are C and F and in Puerto Rico are A and B. This is how they look like.

Puerto Rico

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

Type A

Type B

New Caledonia

In New Caledonia, outlets of type C and F are in use.

Type C

Type F