The 20-year-old made his Super League debut for Trinity last season against Hull FC and earned his first international cap for Turkey in 2019 in a match against Malta in Sydney.
He made two more appearances for Wakefield in 2020, in a win over Huddersfield Giants and a narrow defeat to rivals Leeds Rhinos.
His arrival in North Yorkshire will give York head coach James Ford more options as the Knights aim to finish in the Championship play-off places this year.
The pair are already well acquainted, as Ford is one of Aydin's former school teachers.
“I’m here to get some more game time and experience," said Aydin of joining the Knights.
"I want to learn off these lads and, hopefully, they can learn a bit from me as well.
“I had Fordy as a teacher and, if his coaching is anything like that, he’s just straight and direct with you as well as wanting the best for you.”
Ford added: “He was in my last form as a teacher. He’s always shown a pretty solid attitude towards learning and he is a tough, uncompromising middle who brings some aggression to the team.”
Aydin could make his debut for York when they take on Sheffield Eagles on Sunday evening.