Al-jawab billahi at-taufeeq (the answer with Allah's guidance)
No. women should just pierce the ears once. Also, to pierce the ears many times was not the way of the pious women of the past and will be regarded as a mutilation of the limbs which is prohibited. Women should pierce the ear on that part which is normally pierced. They should not imitate the fashions, ways, styles of the non-Muslims and transgressers (Fasiq).
Rasullulah (Sallallahu Alaihi Wa salam) has said, "Whosoever impersonates a nation (other than Islam) will be (resurrected) from them on the day of judgment". (Sunan Abu Dawud)
