Usual RFID systems are small band, due to both existing regulations and technical advantages. To generate suffcient field strength with small power (e.g. a few 10 mW), you have to rely on resonance. Reader coils are tuned to the center frequency of 13.56 MHz, the Q value is set according to the modulation bandwith. Increasing the bandwidth by a factor of 10 also demands tenfold transmitter power. Keeping this relations in mind, it's surely possible.
Although your project seems to involve wide band operation, it can be meaningful to check, wether it can be legally used at all.