Chapman was 71* off 42 balls as New Zealand – sent in to bat by Pakistan – were 164-5 in 18.5 overs when rain stopped play at Rawalpindi stadium.
It turned into a hailstorm as match officials assessed the conditions before calling off the match as abandoned.
Pakistan lead the five-match series 2-1 after winning the first two matches by 88 and 38 runs while New Zealand took the third by four runs – all in Lahore.
The final match is in Rawalpindi on 24 April after Eid holidays.
Left-hander Chapman held the innings with stands of 54 for the fourth wicket with Bowes who made 38-ball 54, lifting New Zealand from a precarious 3-54.
Pakistan’s left-arm spinner Imad Wasim had derailed New Zealand by dismissing Tom Latham (13), Will Young (six) and Daryl Mitchell (three) to finish with figures of 3-19 in his four overs.
Chapman, who hit 10 boundaries and a six, completed his 1,000 T20I runs on 49 and also added 56 for the fifth wicket with Rachin Ravindra who scored eight.
Bowes hit seven boundaries and a six before falling to Shaheen Shah Afridi.
© Agence France-Presse
