I would say probably not, however there are a few questions:
1. Is the colour printed on the back
2. Can you supply a photo of the box
3. What is the size of each dish
An angled photo might also help, to show the profile better.
From what I can see, the box looks like it has a random design. Of course, it's quite possible they were exclusively repackaged for Harrods, but it is hard to say.
My best guess is that they were made by Webb Crystal Glass Co. who were based in London during the 1950s and produced slumped ware.
Very nice set though
