Hartung registered a remarkable score of 16.6 in the famed test of endurance at this year's NAB AFL Combine, a little more than a month before being selected by the Hawks at pick 24 in the NAB AFL Draft.
The former Dandenong Stingray's effort broke the previous record of 16.1 set by another Hawk, Bradley Hill, in 2011.
But Smith, a talented distance runner whose dash up and down the wing was crucial in Hawthorn's march to this season's premiership, broke clear of both Hartung and Hill to win the club's first pre-season 2km time-trial at Box Hill City Oval on Wednesday morning.
Hartung finished second, with Hill third.
According to a report on hawthornfc.com.au, recruit Ben McEvoy was among other top performers, along with Liam Shiels and Ben Stratton.
The Hawks' will depart for a two-week intensive training camp in South Africa on Sunday.