To what end?
Electrostatic actuators aren't particularly strong, not in air anyway; breakdown limits operation. They require unbalanced construction, such as a parallel plate device. A coaxial construction will produce a largely balanced force, so that the resulting excitation is very nearly zero, limited by how inaccurate the construction is.
Barium titanate and other piezoelectric materials yield dimensional changes under polarization; a fully loaded (solid, not hollow) structure could actually generate and support radial compression or transverse acoustic waves, and would resonate at particular frequencies. As with all transducers, the mechanical resonance will manifest as an RLC equivalent circuit at the electrical terminals.
Even plastic film capacitors exhibit electrostriction, and therefore produce some (acoustic) noise when driven (which again, couples into the electric response, with the difference that electrostriction is a square-law phenomenon, which suggests bias is required, or frequency doubling and other mixing phenomena could be achieved). If solidly cemented together and free of voids, they should also have a resonance; but it's likely too weak to detect, and too easily screwed up by the awkward positioning of the terminals and electrodes.
Tim