Poorna created history on May 25, 2014, by becoming the youngest girl in the world to scale Mount Everest.
Rahul, who was last seen in 'Dil Dhadakne Do', will also act in the film.
"I bought the rights from Poorna's father and Dr RS Praveen Kumar but knew how easy it would be for someone to change the names and come up with a 'me too' film. But now that Poorna has been shot and will be ready to be screened for a studio in six weeks, I can talk about it," Rahul said in a statement.
Rahul is yet to show the film to Poorna and her father. And he plans to take the film to her village, where they shot for 11 days.
Aditi Inamdar, a girl hailing from Telangana, was chosen to play the role of female lead after Rahul auditioned 109 girls.
Rahul will be essaying the role of her father.
The actor added that "it has no 'jhalak' of Bollywood, yet makes you cry. That's because Poorna is one of the most remarkable people I've met - Focussed, disciplined, thoughtful yet fun-loving...Her story needs to be told to world."