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

Here is Why You Need An Adapter

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

Philippines

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

Type A

Type B

Type C

Saint Barthélemy

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

Type C

Type E