From Wikipedia, the free encyclopedia. Peckham Rye railway station is a station on Rye Lane in the centre of the shopping district of Peckham in South London. It opened on 1 December 1865 for LC&DR trains and on 13 August 1866 for LB&SCR trains.efurbishment [edit]. Ticket gates were installed in May 2009 and during late 2010 the station was refurbished as part of a 'deep clean' by Southern.