On the other hand, it might be technically possible for you to meet one of these country's criteria for "refugee", "displaced person", "asylum seeker", etc. but it is _remarkably_ unlikely.
I suppose it also depends a little on what you want to do. In the UK it takes months to process asylum claims but while you wait we'll put you up in a nice hotel, give you food and spending money. So if you just wanted to visit the UK for an extended period of time, it wouldn't be a bad idea.
> The right to asylum is guaranteed by Article 18 of the EU Charter of Fundamental Rights. Article 19 prohibits collective expulsions and protects individuals from being removed, expelled or extradited to a state where there is a serious risk of death penalty, torture or other inhuman or degrading treatment or punishment.
https://www.europarl.europa.eu/about-parliament/en/democracy...
Also, you don't need to "toss [your] documents", I'm not sure why you think that's required to initiate an asylum process lol
Someone versed in EU law can chime in, but I imagine that being literally undocumented would only make the process harder (though it would be abundantly clear that you're an American)
No need to toss your documents
As an American, can I go vacation in Europe and then toss my documents and claim I'm seeking asylum with a succesful outcome of being granted permanent residency and the ability to work?