You will hear it.
When I was a child, my mum taught English to a Saudi Arabian family who had moved in round the corner.
In Spain, I taught English to people ranging in age from 6 to 72.
The longer the sentence, the more it works. Your original example structure of "to teach somebody something" would convert to "When I was a child, my mum taught a Saudi Arabian family who had moved in round the corner English". As you can see, that puts "English" much too far away from "taught" and makes the sentence hard to follow.
Short sentences work with either structure.
I taught my sister's boyfriend Italian.
I taught Italian to my sister's boyfriend.
In that particular example, the first is much more natural.
Student or Learner