I thought it was - situated in the London Borough of Bromley and taking its name from the Crystal Palace moved there from Hyde Park after the Great Exhibition of 1851.
Crystal Palace Railway station was built in 1854 to convey visitors to the building, and although the Palace itself burned down in 1936, the station remains to serve the inhabitants of the area, who presumably describe themselves as living in Crystal Palace.
However, I would be happy to be proved wrong.