No, not 'out of the box'. Some phones have a NFC (near-field communication) capability, which could be used if your device is NFC enabled. Note that although similar, NFC and RFID are not compatible.
To use NFC, you'd have to write an app for your phone to interface with your device. Because of this, and because there are no IOS/iDevices with NFC capability, you're limited to Android. For iPhone, the only option would be a commercial RFID add-on hardware and accompanying software.
What kind of 'interface' are you looking for? If you are looking for something that activates by close proximity, Bluetooth might not be suitable.