Engan began his political career when he contested the 2013 general election for the Baram parliamentary seat, where he faced off against the incumbent, Anyi Ngau of Barisan Nasional (BN), and narrowly lost by 194 votes. He was nominated again by PKR to contest the Baram seat in the 2018 general election. However, he lost a second time to Anyi Ngau, who secured the seat with an increased majority of 1,990 votes.
In 2021, Engan was appointed as State Chairman of Sarawak PKR, a position that had been vacant for a year following the resignation of the previous chairman, Larry Sng. He contested the Baram seat for a third time in 2022, losing again to Anyi Ngau who won with a further increased majority of 7,339 votes. Engan became involved in PKR's central leadership when he was appointed as one of the party's vice-presidents in 2025, serving alongside four other elected vice-presidents: Amirudin Shari, Ramanan Ramakrishnan, Aminuddin Harun, and Chang Lih Kang.