Is there such a thing as sonic radiation?
Yes and no. Sound propogates through a uniform medium in wave forms, much as do visible light and other forms of radiation. However, unlike electromagnetic radiation of any frequency, sound requires the presence of a physical medium through which it can pass. Thus sound cannot propogate through a vacuum or empty space as do other forms of radiation.
Sound can cause metal to vibrate as a result of the action of the pressure waves in the air acting on the metal. Depending on the shape and construction of the metal object and the duration and intensity of the sound, a fatigue failure could be induced in the metal. However, I am not aware of any general technique for forming metal objects using sound.