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

Here is Why You Need An Adapter

The outlet and plug type used in Curaçao are A and B and in Saint Barthélemy are C and E. This is how they look like.

Saint Barthélemy

In Saint Barthélemy, outlets of type C and E are in use.

Type C

Type E

Curaçao

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

Type A

Type B