Haupai Puha has been competing on the New Zealand darts circuit since 2017, since swapping the golf clubs for tungsten arrows. He made his first PDC major appearance at the 2019 World Cup of Darts in Hamburg together with Cody Harris. They beat Lithuania and South Africa to reach the quarter-finals, eventually losing to Japan. The biggest win of his career came at the 2022 Queensland Darts Masters when he beat Jonny Clayton. Puha has also played in the PDC and WDF World Championships, losing in the first round in 2021 and 2022 respectively. 

He has also qualified for the 2023 WDF World Championships.