Can the H-1B1 principal applicant’s spouse, dependent children, and family accompany him or her to the U.S.?

Yes.  The H-1B1 visa (for Chileans)  allows the principal applicant to live and work in the United States accompanied by his or her spouse and dependent children.

Note, however, that only spouses and children of H-1B1 work visa holders are eligible for derivative visas. Parents and other family members are NOT eligible for H4 visas.