Descent, mostly not. Culture, mostly not. History, yes, of constantly fighting each other for hundreds of years (which is the type of shared history that creates national separations, not the kind that unites nations).

There are some groups of countries that have some descent and culture in common like Portugal/Spain or Benelux or Scandinavia, but there is no pan-European culture. Portugal, Greece, Monaco, Latvia and Iceland have almost nothing in common.