P
- Pat Chapman, founder of The Curry Club, and author
- Patsy Chapman (born 1948), British newspaper editor
- Patrick Chapman, Irish writer and poet
- Paul Chapman
- Paul Chapman (footballer) (born 1981), Australian Rules footballer
- Paul Chapman (musician), Welsh rock guitarist (UFO, Skid Row)
- Paul Chapman (actor), British television actor
- Penny Chapman, Australian television producer
- Percy Chapman
- Percy Chapman (1900–1961), English cricketer
- Percy Chapman Black (1878–1961), Canadian Progressive Conservative Party politician
- Philip K. Chapman (born 1935), Australian astronaut and scientist
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