Metals "cancel" electric fields because they permit charges to move very easily in response to an applied field. As a result, the charges move to oppose the field.
With sound, you don't have a similar "opposites attract" type phenomenon.
The way sound is mitigated is by isolation. You place some sort of barrier, through which sound will not travel around the source. This may be a damped mass (which will absorb acoustic energy, and then dissipate it in dampers), or a sufficiently stiff and massive object to reflect the energy (at the frequency of interest). There are other approaches, certain types of scientific instrument are amenable to being placed in a vacuum chamber (e.g. the switched electromagnets in an MRI machine are installed in vacuum chambers by some manufacturers, in order to prevent them from producing deafening noises from the forces that arise from applying AC signals to a coil in a strong magnetic field).
High, heavy concrete or wood fences can be used alongside highways, and are reasonably effective. The mass and stiffness mean that they transmit little sound. However, they have to be high enough to ensure that you don't get too much refraction of sound over the top - this means 12-18 feet high. Even so, this doesn't work for the low-frequency rumble, which is too effectively transmitted through the ground, and refracts over the top. It's also highly dependent on their being no gaps in the fencing, as sound will travel through the gap and refract, in effect transmitting sound to a large area.