Controlling RFID with arduino

Yes.

https://www.google.com/search?q=rfid+arduino&oq=rfid+arduino&aqs=chrome..69i57j0l2j69i60j0l2.2896j0j7&sourceid=chrome&es_sm=93&ie=UTF-8

In fact, you can even build your own RFID interface:

http://playground.arduino.cc/Main/DIYRFIDReader