Hyman moved from South Africa to London at the age of fifteen and began single-seater racing in Britain. He made his car racing debut in 2013 in the BRDC Formula 4 Championship with HHC Motorsport, finishing seventh in the standings with four podiums across 24 races. He returned to the same series with HHC in 2014, opening the season with back-to-back pole-position victories at Silverstone and Brands Hatch. He won four times in total that year — adding victories at Donington Park and Snetterton — and finished third in the championship.
He stepped up to the FIA Formula 3 European Championship in 2015 with Team West-Tec F3, taking a best result of sixth at Monza and finishing 21st overall. The following year he moved to Carlin for European F3 but left the series after the season opener having scored a single point. A one-off appearance in BRDC British Formula 3 with HHC also produced no meaningful result that season.
In 2017 Hyman joined Campos Racing for a full GP3 Series campaign. His season highlight was a Sprint Race victory at the Red Bull Ring in Austria, where he controlled a gap to Giuliano Alesi to take his first win in nearly three years. He finished 13th in the final standings with two further points at the Hungaroring.
For the 2018 season Hyman contested the inaugural F3 Asian Championship with Dragon HitechGP alongside Jake Hughes and Hon Chio Leong. Hughes, competing only in three events, won every race he entered; but Hyman, consistent across the full campaign, accumulated eleven podiums including a win at Ningbo and took the title by two points. It was the most significant championship of his career to that point.
At the start of 2019 Hyman raced in the Toyota Racing Series with Giles Motorsport, finishing fourth in the standings with four podiums. He then drove for the Sauber Junior Team by Charouz in the newly formed FIA Formula 3 Championship, ending the season 22nd with two points scored at the Sochi finale.
After 2019, Hyman stepped away from racing for two years. He later described the period as "two of the worst years I've ever had."
Hyman returned to racing in 2022, signing with TJ Speed Motorsports in the Formula Regional Americas Championship. The campaign was dominant: he won eleven of eighteen races, took six pole positions, and missed the podium on only two occasions. His title earned him a $600,000 prize package to compete in the Super Formula Championship in Japan, one of the sport's leading national single-seater series.
Also in 2022 he made his first Indian Racing League appearance with Goa Aces, a single race entry that went unclassified.
At the end of 2022 it was confirmed that Hyman would race for B-Max Racing in the 2023 Super Formula Championship. He completed nine starts across the season, finishing 25th in the final championship standings.
Alongside Super Formula, Hyman raced three rounds of the 2023 Indian Racing League with Goa Aces. He won two of those races and took pole position once, with the team finishing first in the team standings.
In 2024 Hyman remained with Goa Aces for five IRL rounds, winning three races and taking two further pole positions. The team again finished first in the team standings.
He continued with Goa Aces JA Racing in the 2025 Indian Racing League.
Hyman was born in Durban and moved to London at the age of fifteen. He has Indian ancestry. His father is Christopher Hyman.