Baruch trailed twice in the first half by 12 points, but outscored the visitors 11-3 in the final five minutes to enter the half trailing by the score 29-27.
Joe Hart hit a three-pointer for a five-point lead to start the second half, but Baruch came back strong to tie the game at 48 with 7:17 left.
Both teams exchanged a series of baskets the rest of the way and tied for the fifth time during the second half at 56 with 1:35 remaining.
Chin, who played eight minutes and scored six points on free throws, then went to the line to connect on two free throws each with 45 and 23 seconds left in the game.
Baruch finished with a 7-0 run to clinch their ninth win of the season.
Louie Karis led Baruch (9-3) with 17 points and Cheick Fadika added 12 points and eight rebounds. Chris Alesi scored nine points, grabbed eight rebounds, and notched five assists and two steals.
Hart led the U.S. Merchant Marine Academy (5-4) with 19 points (5-10 3FG), while Josh Buck added 12 points and eight rebounds.