Perhaps. But the V-1 was very inaccurate and the UK could accelerate the development of faster fighters and extra AA to reduce their effects. Plus bombing of the launch sites, though maybe it would need to sacrifice a "R" class or 2 BB in a bombardment for that to work.
The more fundamental flaw with giving the Nazis wonder-weapns of any sort in useful quantities is the absolutely dire state of the German economy in 1939-40. It really was "robbing Peter to pay Paul" as far as armaments production was concerned. For a mass of V-1s Germany might have had to sacrifice Ju-88 production, or abandon building Bismarck and Tirpitz. Or have fewer Panzer Divisions. Or less ammunition for the artillery.
Now a POD to make the German economy stronger in the late 1930s might also give the wherewithal for V-1s or something else useful in 1940. However, given that the German economy in 1933 was very much not the highly advanced West Germany of the 1960s it's difficult to achieve.
After i digest Tooze, i'll see if something comes to mind re improving the German economy. One core problem IMHO is the Nazi Romantic Idyll of a Peasant and Craft based Aryan society. Which isn't really consistent with moving technical innovation into mass production, nor seeking "the good enough" rather than the perfect. Reluctance to move peasant farmers into higher value industry was thus an ideological constraint. However, there were also scarcities of necessary imported inputs that simply meant German industrial output couldn't be grown much more than achieved, no matter what sacrifices its people might have been asked to make. Not to mention simple capacity constraints on transport and basic goods (cement, steel, etc) and limits on possible investment. Nazi ideology had an adverse impact ion trade and financial relations with the UK, France and US, which to some extent explains the import problems.
Still, provided we accept that something greatly additional to the 1940 German military establishment is a bit ASB it makes an interesting discussion point. For a realistic TL though having V-1s needs to be mostly at the expense of something else Germany built up in 1938-40.