A product of AZ Alkmaar youth’s department, Luckassen made his senior league debut for AZ at the age of 19 against Dordrecht in August 2014. Two seasons later (2016/17) Luckassen featured for AZ in the two Europa League matches against Maccabi 0-0 at Netanya and 2-1 at the Afas stadion. In July 2017 PSV Eindhoven bought Luckassen from AZ but after 25 appearances in all competitions during his first season spent loan spells with Bundesliga side Hertha Berlin (2018/19) and Belgian outfit Anderlecht (2019/20).
In January 2021, Luckassen joined Turkish outfit Kasimpasa on a six month long loan spell and made 17 appearances for the Istanbul club. In the summer, Luckassen returned to Turkey and joined Fatih Karagumrk last season, where he made 21 appearances scoring 1 goal for the Istanbul club that finished 8th in the table.
Luckassen represented the young Dutch national sides at U-18, U-19, U-20 and U-21’s and has a total of 19 international appearances.