There’s more than “the remotest chance”. There’s every likelihood.
What those who say that Labour cannot win without Scotland are really saying is that they do not believe Labour can ever win a sizeable majority again. This may or may not be true but it’s a different debate. History suggests that England and Wales alone are capable of electing a Labour government when the conditions are right. - New Statesman
But that’s just words. Let’s dig out the numbers.
@anon76851889 has done it for 2017. Let’s go back further.
In 2015, even if Labour had won all 59 Scottish seats, by taking the 1 Con, 1 LD and 56 SNP seats, rather than just the 1 it actually won, it would still have only been on a UK total of 291, 35 short of a majority (and behind the Tories’ 330). Even winning all the Welsh seats would have only added another 15 seats (on top of the 25 Welsh Lab seats they’d already won).
Going back even further, to emphasise the point…
Between 1945 and 2010, MPs returned from Scotland decided who governed the whole of the UK on three (possibly four) of the 18 elections.
You see the trend here? It’s almost always been the case that whatever government England wants, it gets.
(This ought not to be a surprise when you step back from instinct or assumption, and consider the relative population sizes.)
- Table source, with additional commentary.