It's super-easy for very short range, super-difficult for long range. Reason is the wavelength is so long (speed of length/60KHz = 5Kms) that you need a massive aerial for lange range, however for short range you can feed the MW or LW coil of an AM radio to spoof a time signal (ideally make it resonant by adding the right amount of capacitance, look up "tank circuit"). Watch out if you add amplification though, due to the lnog wavelength and the high inductances involved (if you get that far) it is possible to end up with dangerous voltages at the aerial feed.

A sound card with a true 192Khz sample rate should be enough to fool a radio clock next to the transmitter coil - though be aware a lot of sound cards may not actually output the 60kHz carrier frequency required.