Born to parents who were both equestrians, Han has also competed in dressage and eventing.[7] She began playing the violin at age five.[7] She started a community orchestra in her town and volunteers teaching violin to grade school students.
The 2013 Nebelhorn Trophy was the qualifying competition for the 2014 Winter Olympics for countries which had not qualified an entry in a figure skating discipline at the 2013 Worlds. In August 2013, Australian skater Chantelle Kerry argued before the Australian Court of Arbitration for Sport that Han should not compete at Nebelhorn Trophy because she did not compete at the inaugural Skate Down Under competition, which was used as the Australian qualification event to select skaters for the Nebelhorn Trophy. That claim was rejected and Han was selected to compete.[8][9] Han finished fifth at the Nebelhorn Trophy and, as a result of her placement, Australia received one of the six remaining ladies' spots to the Olympics.[10]
The dispute over the Olympic berth continued with claims that Han became ineligible after competing at a club event in America without the approval of the national federation. The Court of Arbitration for Sport heard the case in December 2013.[8][9] Despite the court ruling that Han's participation could have led to her becoming ineligible, previous communications between the skater and Ice Skating Australia (ISA) showed that ISA had no objections to her competing in the event. The claim was ultimately rejected and Han was confirmed as Australia's ladies' representative at the Olympics.[11] Han later finished 20th at the Olympics and 19th at the 2014 World Championships.
On June 27, 2014, Han was selected to compete at the 2014 Skate America, the first of six competitions in the 2014–15 Grand Prix series. After another skater withdrew, she was given a spot to the 2014 Skate Canada International. Han finished in 10th and 8th place, respectively.