If the insinuation is that the spikes were partly caused by those events, then personally I would say a categorical NO to that question.
The two defining events in those spikes are people returning to the UK carrying the Indian variant, to communities where there is a lower take up of the vaccine. You could probably add in the prominence of multi generational housing that has aided the spread of the virus.
Other area's, such as Sefton, that don't have that same combination of factors were able to manage and control the Indian variant.
The rest of the country, the 200 or so areas not so badly affected by the Indian variant, have all seen their infection rates continue to fall despite the re-opening events of April and May. I would say that if it hadn't been for the Indian variant, then the infection rates across the country would most likely have been below 10 now.