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No. But, there was an idea for it!
Apparently, Benny Anderson and Bjorn Ulvaeus of the 70's super-group ABBA approached
Doctor Who and
Torchwood honcho Russell T. Davies with an idea for a
Torchwood musical. Now, this sounds insane, but considering the duo were responsible (with librettist Tim Rice) for the genius musical
Chess, a dark, sexy, sci-fi musical thriller doesn't seem so unlikely. And with the all-singing, all-dancing (all-snogging) John Barrowman in the lead, the idea seems even more intriguing. But alas, it was not to be. The incident is related in Davies' forthcoming book
The Writer's Tale, Volume 2.