Harvey Peters joined Norwich City at the age of seven, participating in trials for the Under-8s. He received new contracts annually until 2020 when Norwich only retained six of the 16 players in the Under-16 age-group. Harvey wasn't one of them.

He then signed with Integral Sports Management, founded by actor Ray Winstone and former Charlton chief executive Peter Varney.They helped Harvey win a contract with Watford in March 2021. He left the Hornets in the summer of 2023.

Harvey is a left-footed central defender.

On 8th November 2023 Harvey returned to Norfolk signing for Wroxham.

He moved to fellow Isthmian League side Brentwood on 5th March 2025. He had played 61 times for Wroxham, scoring six times.