P.J. Horgan hit two free throws with 2:43 left to give The Citadel a 65-63 lead.
QJ Peterson led VMI with 25 points on 10-of-23 shooting. Brian Brown added 16, including four 3-pointers, and Chapman had five points. The Keydets made 11 of 29 3-pointers, compared to just 2 of 4 for The Citadel.
VMI trailed 38-32 at halftime, but started the second half on a 12-0 run. Moore scored The Citadel's first basket of the second half at the 11:47 mark to pull the Bulldogs within 46-44.
The game was part of the All-Military Classic at West Point.