We can look at “the right to be forgotten” in the EU. An example is the Google case in Spain, where Google was upset that EU law was applying to their situation, because they didn't think their presence in Spain was sufficient to justify the application of that particular directive.
In brief, the case was about whether they could order Google to delete a particular outcome from its search engine, so that if you searched for a particular person, this story would not surface in the Google search, on the premise that most of us get our information from Google searches, and even if it's still out there on a website somewhere, our access to it is relatively limited if it doesn't come up in the first one or two pages of a Google search. They were ordered to remove this from their search, so that when someone searched for this individual, the story about a prior proceeding wouldn't come up. The idea was that if you don't want to do this broadly, you need to figure out how to do it so that residents in Spain or in the EU don't have access to this material, because this person is entitled, under EU law, to not have other people in the EU getting access to this on their search engines.
It can be done.