Yes, you can share files over Airdrop. However, it doesn't use Bluetooth to transfer any data. Both Bluetooth and Wi-Fi need to be turned on to share files through an Airdrop network, and files are transmitted through a Wi-Fi network. You don't need to connect your device to any mutual Wi-Fi router. It uses a special algorithm to connect and share the file. The Macbook finds and connects to another Apple device via Bluetooth and then joins them together to form a peer-to-peer network. The files are then shared between the devices in encrypted form.