Thanks for your question.
Piercing the flesh for ornamental purposes is not directly prohibited in the Bible. Doing so, I believe, is against the spirit of scripture because by doing so we are putting our bodies at unnecessary risk merely to conform to the fashion of this world. With any kind of body piercing whether for jewelry or tattooing, there is a great danger of doing oneself serious damage primarily due to the risk of infection.
In 1 Corinthians 6:19, our bodies are described as the temple of the Holy Spirit. Let's not defile that temple by indulging in the practices of the Godless society around us.
Here is some good advice from the apostles Peter and Paul:
1 Timothy 2:9,10, likewise also that women should adorn themselves in respectable apparel, with modesty and self–control, not with braided hair and gold or pearls or costly attire, but with what is proper for women who profess godliness––with good works.
1 Peter 3:3-5 Do not let your adorning be external: the braiding of hair, the wearing of gold, or the putting on of clothing but let your adorning be the hidden person of the heart with the imperishable beauty of a gentle and quiet spirit, which in God’s sight is very precious.