While I've never actually tried to fit the Tamiya tracks onto the Nashorn I think I know the answer. If you have the old DML Nashorn then the rubber band tracks will probably fit as that kit was incorrectly based on a pure Panzer IV hull, but if you have the new DML Nashorn the answer is more than likely no because the Nashorn hull was a lengthened Panzer IV hull which would make the Tamiya tracks too short.
Just an aside, you better have patience to work with those DML tracks as there are two ejector pin marks per track link. I am currently working on the new DML Nashorn and gave up all the cleaning and filing and bought a set of Friulmodel instead.