Kpossi's debut at an international swimming competition was at the 2011 World Aquatics Championships, where she competed in both the 50 metre butterfly and 50 metre freestyle. In the 50 metre butterfly event, she finished last in her heat in a time of 55.17 seconds, around 25 seconds slower than the heat winner. Overall, her time was the slowest out of 51 athletes. In the 50 metre freestyle, Kpossi swam a time of 44.60 seconds in her heat and did not progress to the semi-finals.
At the 2012 Summer Olympics in London, United Kingdom, Kpossi competed in the 50 metre freestyle. By doing so at the age of 13 years and 191 days, she became the youngest ever Togolese Olympian. She was also the youngest competitor from any country at the 2012 Games. In her competition, she swam a time 37.55 seconds to finish second in her three-swimmer heat. Her time was the second slowest overall, with only Masempe Theko slower. Kpossi did not qualify for the semi-finals, and, therefore, her competition was over.
Other competitions between 2012 and 2016
At the 2012 World Short Course Championships, Kpossi competed in three events; the 50 metre butterfly, the 50 metre freestyle and the 100 metre individual medley. In the butterfly race, Kpossi swam a time of 43.00 seconds, a time that was the 77th quickest from the 79 competitors in the heat round. Kpossi was disqualified from both of her other events. At the 2015 World Aquatics Championships, Kpossi competed in the 50 metre freestyle. She swam a heat time of 34.26 seconds to finish 103rd overall out of 113 swimmers and not qualify for the semi-finals. Kpossi's next major competition was the 2015 African Games. In her heat of the 50 metre freestyle, she swam a time of 33.62 seconds to finish 17 overall and not qualify for the semi-finals.
At the 2016 Summer Olympics, Kpossi competed in the 50 metre freestyle. She was Togo's flag bearer at both the opening and closing ceremonies. For her event, Kpossi was drawn in heat three, a heat containing seven other athletes alongside Kpossi. In the race on 12 August 2016, Kpossi swam a time of 33.44 seconds to finish sixth in her heat. Kpossi's time was the 79th quickest out off 88 finishing athletes. She did not progress to the next round.