 Kunda was born in Mufulira where his father Thomas Chipayeni worked as a miner and had also played football for Mufulira Tigers, now known as Mufulira Blackpool.He was the first born in the family and his immediate younger brother Thomas Bwalya would also go on to feature for both Wanderers and the national team.He began playing football in Section 5 of the Mine township and also played for his school Buyantanshi Primary.