Peck made his professional debut on 13 November 2018 in a 2–0 EFL Trophy defeat between Argyle and EFL League Two side Newport County.[2][3][4] In November 2019 he joined Dorchester Town on loan, and in December 2019 he joined Tiverton Town on a months loan deal.[5] The deal was later extended for another 28 days[6] and later to the end of the season.