Career
Babiychuk is a product of Metalurh Zaporizhya Youth Sportive School System. His first trainer was Mykola Pozdobudko. He made his debut for Metalurh Zaporizhya in the Ukrainian Premier League in match against Football Club Karpaty Lviv on 31 October 2015.
He was called up to the Ukraine national under-20 football team in October 2014, but not spent any match for this representation.