McEvoy was born in London, but spent much of his childhood living near Turnberry where his father was a member of the famous links course.
McEvoy has been involved with golf course design for over 20 years, with his own company and in collaboration with others.
In 2002, McEvoy was named Chairman of The Royal and Ancient Golf Club of St Andrews Selection Committee, which chooses the members for Great Britain & Ireland amateur teams competing in various international events (such as the Walker Cup).
The trophy is "awarded each year to the individual, born or resident in Europe, or the European team, who have made the most outstanding contribution to golf in the preceding 12 months."
McEvoy was named an Officer of the Order of the British Empire on the 2003 Queen's New Year's Honours List, for "services to golf.