Can Internet Button communicate via BLE with iPhone

I need to make a low power solution. Internet Button WiFi might be too much.
Can Internet Button particle Photon connect to shield-shield that is connected to a Arduino BLE shield that connects to iPhone BLE? (I’ve done iPhone BLE other embedded applications)

@douglaskbell, you might want to look at the Bluz. You can also get a number of BLE breakouts that don’t need the shield-shield. For example: