Compatibility summary
You will need a travel adapter in Saint Lucia; plug types used there differ from Philippines.
Plug comparison
Philippines plug types: A B C
Saint Lucia plug types: G
There is no common plug type between Philippines (A B C) and Saint Lucia (G). You need a travel adapter.
Voltage comparison
Philippines: 220V, 60Hz
Saint Lucia: 230V, 50Hz
Voltage difference is within a range many devices tolerate; check your appliance label.