能这样说吗？

There is her father, her mother and her in the family.
注意
就近原则

能用.
her是女的,怎么能用 he呢

很明显是错的
应为Here are her Dad,her Mum and her in the family

There is her father, her mother and her in the family

there be就近原则，也就是后面跟着的最近的事物为单数的情况下，be为单数形式，复数情况下用复数。