Or is this impossible?
No, it cannot. For an RFID reader to be able to communicate with an RFID transponder, the two must use the same frequency and air-interface protocol (language). An antenna for a chip operating at 13.56 MHz is not able to receive signals at a different frequency, and the two types of systems use different protocols to communicate.
I hope this answers your question, and I look forward to seeing you at RFID Journal LIVE! in May.
—Mark Roberti, Founder and Editor, RFID Journal