Rather than being elements in the sense of chemistry, natural pearls are composed of calcium carbonate minerals and the protein conchiolin. Please see the link.

yes, seashells are ionic because all the components of seashells like calcium carbonate, calcite and conchiolin are ionic compounds. by kingsley Ifang (BSc Ed. chemistry) university of uyo, Nigeria.

No they are formed from calcium carbonate and conchiolin which is secreted by a mollusc around an intruding parasite such as a Nematode worm.

Both. The primary substance is calcium carbonate, which makes up the majority of the chemical composition of a pearl, and is inorganic. Pearls also contain a substance called conchiolin, which is a fibrous protein and is therefore organic.
https://en.wikipedia.org/wiki/Cultured_pearl

Following are the chief constituents of pearl:

1. Calcium Carbonate

2. Calcium Oxide

3. Ammonium Sulphate

4. Ammonium Chloride

5. Magnesium Carbonate

6. Sodium Chloride

7. Aragonite

8. Conchiolin

It may also contain lessor amounts of silica.