Mind you that's no reason not to use pedal but.... it's on odd request.
4th movt of Chopin's second sonata uses no pedal, but that movement is kind of an anomaly anyway. I don't like it when people play romantic music with too little pedal, some people seem to think using the pedal is a crutch of some kind. So they don't use it enough and the music doesn't sound as good as it should. Like Cziffra's Wild Jagd.