Can I say, " My sister was given birth to 16 years ago"?
is it different from "My sister was born 16 years ago" in any sense?
In what situations can I use "be given birth to" in stead of "be born"?
You should probably avoid trying to use this statement as you have in your first sentence, Vphuocloc. You could say that "my mother gave birth to my sister sixteen years ago", but trying to use the passive here is awkward. The most natural way to say that your sister was born sixteen years ago is to say exactly that:"My sister was born sixteen years ago."