EU doesn't syp on their own citizens so NO.
It's always struck me as bizarre that, at least in discussion forums like HN, the US is regarded as an unusually bad actor when it's simply the leader of the gang.
^The Eu itself doesn't have a spy organisation, but plenty of EU countries do.
Compared to the US, the scale might be rather tame, but that has more to do with the bloated US intelligence budget than with any "respect" for privacy on the part of the european intelligence services.