NO! The speed of change or speed of induction of the electromagnetic field induced into the body is very important to obtain the maximum possible force and thus penetration inside the body.
This speed of magnetic induction is one of the most important parameters for obtaining nice and clear pictures in Magnetic Resonance Imaging (MRI) machines in hospitals, to obtain high speed tilting of hydrogen atoms in the body.
These atoms emit the radio frequency signals, which are measured by the MRI coils and used to create the diagnostic picture.
This explanation also clearly shows that a static magnetic field cannot generate any piezoelectric effect inside the body since there is no speed of change component when applying a permanent magnet.