Not really - of course some working class people voted Tory - but in doing so they looked to the Tories not to defend their interests as a *class* but as individuals (or families), as loyal subjects of the British Empire etc...
Labour by contrast has had from the beginning formal links to workers' organisation in the trade unions, and was pitched at representating the class interest of workers (whether it did so in practice another question altogether).
It's history is that of a bourgeois workers party. To what extent this is still true is very debatable, but...