Pamboulis was born on May 26, 1948. He started his football career in Cyprus where, as a player of AE Limassol, he was crowned top scorer of the domestic league in 1968. He transferred to Olympiakos Piraeus in 1970 where, despite the presence of better-known strikers, he was often used for his "killer instinct" in scoring goals.
Pamboulis' Olympiakos career lasted until 1976 when he moved on to OFI Crete. He played two seasons at the Iraklio club and had a short stint at the Toronto Metros in Canada before returning to Cyprus to play for AE Limassol.
Pamboulis was capped 25 times by the Cyprus National Football Team scoring 2 goals.