Ok to address Blazr's points,
8chan was de-listed, without receiving a notification from google as to why. Saying that the same could happen might be a stretch but I wouldn't consider it impossible.
The actual answer is...
Sure, but the FAQ I linked to actually mentions that google delists websites for alleged defamation, hate speech, impersonation as well. All of those could be part of doxing, the fact that it's user submitted content doesn't change much from their perspective.
The right to be forgotten is a completely different procedure, supported by the EU. Where google removes search results from showing up per request if and only if the party making the request can submit the necessary evidence, which is not an anonymous precedure.