No.
There's a marked difference, however, between what is marked as the ideological political centre in the US and UK, with the US being much more rightist.
The UK also doesn't have a history of demonising "Communism/Socialism" in the same way that the US does, or conflating "Communism/Socialism", a philosophico-political movement, with "Stalinism" the dictatorial system of government which developed from the mid-1920s onwards until Stalin's death in 1953, usurping the language of Marxism-Leninism to create a fundamentally rightist system, socially, with centralisation of power in the hands of a political elite class who were nevertheless subject to the Terror of the (OGPU/NKVD/)KGB through purges at Stalin's whim.
The UK is also much more at home with regulation of market forces for the benefit of the public at large without the introduction of a "THIS IS SOCIALISM!" narrative.