The only coil-less transmitter Ive seen work is at the following link **broken link removed**. I think its achieving oscilation from the crystal.
Im pretty new in RF circuits but to my knowledge any pulsed signal will produce a radio wave. With out a coil and adjustable cap I think your circuits frequency and amplitude will vary widely though. It wouldnt be any good for wireless communications but would produce a detectable signal, range would depend on power ofcourse. Ive also seen alot of tracking bug schematics that just use a coil and a 555 or led flashing ic.