Pullman was educated at Sherborne School before going to the Royal Military Academy Sandhurst. He was commissioned into the Royal Corps of Signals in 1968, serving with the Brigade of Gurkhas and the United Nations in Cyprus (1974–75). He was promoted to the rank of Captain before leaving regular military service. He then joined the Inns of Court &amp; City Yeomanry (Territorial Army), retiring in 1988. In 2016 he was appointed Honorary Colonel of 68 (Inns of Court &amp; City Yeomanry) Signal Squadron, and of the Band of The Royal Yeomanry (Inns of Court and City Yeomanry). He was appointed to Her Majesty’s Commission of Lieutenancy for the City of London in 2014.