Chapman's success at Missouri Southern is evident all over the record books as he either holds or is in the top 10 in career marks in 26 different offensive categories. But his success did not stop on the field as Chapman was a four-time member of the MIAA Academic Honor Roll during his time in the Green & Gold.

Chapman is one of only 23 players in the history of NCAA D-2 to have ever rushed and passed for over 1,000 yards in the same season and he did it twice. In 2001 he rushed for 1,025 yards and passed for 1,623, while in 2002 he rushed for 1,010 and passed for 2,398 yards. His performance in 2002 led to multiple awards and honors as he earned first team All-MIAA honors, MIAA Offensive Player of the Year, first team All-Region, and All-American honors. He was also invited to play in the Cactus Bowl, the D-2 All-Star game and earned national player of the week honors for his 593-yard performance in the 52-28 win over Washburn. The 593 yards gained against Washburn is a school record for most yards gained in a game, he also holds records in most games with 200 yards or more at 20, 300 yards or more in a game with 9, and most consecutive games with 300 yards or more with four. Chapman also holds every quarterback rushing record with 246 in a game against Missouri S&T in 2002, 1,025 yards in a season in 2001, and 3,233 yards for his career. In the game against Missouri S&T in 2002 Chapman also set the record for most touchdowns responsible for in a game with six against the Miners.

Josh is a 2003 graduate of Missouri Southern and has two bachelor's degree in business management and marketing. He is currently employed by Schreiber Foods and is a plant manager in Smithfield, Utah. Chapman is married to Katie and they have two children, Kelsey and Addie.