The opposite seems to be the case. The EU fosters really competitive markets, so large companies are really hard to emerge. There are tons of small software shops in my city alone, you can walk through the city and see ads for them in front of their houses.
Those exist in the USA as well. We have large, medium, and small software shops. You hardly ever hear about the medium or smaller ones though, you’ll find the, splattered all over the place in office parks as well as downtown (at least here in the Seattle area). It didn’t feel very different when I lived in Europe, even the large orgs were present (Google has lots of offices in Zurich and Stockholm among others, for example, and when I was in China my wife worked for a German big tech called SAP).