No, the Netherlands is not in South America. It is a country in Western Europe.
The Kingdom of the Netherlands includes three Caribbean special municipalities—Bonaire, Sint Eustatius, Saba—which are geographically in the Caribbean (North America), and two autonomous countries—Aruba, Curaçao, Sint Maarten—also in the Caribbean. But the Netherlands proper (European Netherlands) is entirely in Europe. South America is a separate continent (mostly Southern Hemisphere).