No, you cannot connect Apple's AirPods directly to the Sony BDP-S6700 Blu-ray player via Bluetooth if you want to send the audio signals directly from the player to the AirPods. The BDP-S6700 supports Bluetooth, but it is specific to connecting to Bluetooth-compatible headphones or speakers that support the appropriate Bluetooth protocol compatible with the player. AirPods use a special protocol from Apple that is not directly compatible with the BDP-S6700.

However, if you use a device such as a TV or other device that supports AirPods and then send the audio output from that device to the BDP-S6700, it could work, but this would be an indirect connection.