[HELP] About Ultrasonic sound using my arduino..

I have a school project that needs to emit an Ultrasonic sound when a PIR(Pyroelectric Infrared Sensor) detects a motion and will produce 30-60khz of ultrasonic sound (frequency changes every 5 secs until 60khz achieved and repeat again). Is it possible to make that kind of high frequency using arduino? btw, i am using piezo transducer tweeter. TIA.