Adnan's father served as a Pakistan Air Force pilot, before becoming a senior bureaucrat and serving as Pakistan's ambassador to 14 countries. His paternal great-great-grandfather, General Ahmed Jan, was from Afghanistan and a military advisor to king Abdur Rahman Khan. His paternal great-grandfather Agha Mehfooz Jan was the governor of four Afghan provinces under King Amanullah Khan's reign and was also the King's first cousin, while his paternal grandfather Abdul Sami Khan served as the Deputy Inspector General of Police.