Do colleges & universities in Europe have soccer teams?
Yes, but in a much, much lower key manner than in the US. There is no connection to professional soccer, and no allowance of sports time against academic work. Students are expected to do 40-60 hours academic work per week. If they want do do sports after that, they are encouraged to do so. But university sports teams are no more professional than, say, company sports teams. (There are a few exceptions, like the Oxford and Cambridge Boat Race).