Not really... unless you are specifically looking for innuendos... it is a natural and acceptable way of showing hunger... ofcourse, your way is also correct - infact, I myself use the two alternatively in daily life.
It is more idiomatic to say, "Bhūkh lagnā". As teachers, you should make sure your students learn idiomatic language. I have never ever heard someone use the adjective to mean everyday hunger, especially not native speakers. Doing that would be an anglicism.