The characters, organizations, and place names that appear have absolutely no connection to real ones.
Literal
Appear person [and-、] organization [and-および] place-name [topic-は] really-exist things [with-と] at-all relation-not.
The standard fiction-disclaimer boilerplate, the kind you see at the start of novels and films. および ('and') is a formal/written conjunction, more buttoned-up than と or や, used to coordinate items in legal or official-looking text. 一切 ('at all,' 'entirely') is an emphatic negative modifier, always paired with a negative verb. 関係ありません is the polite negative of 関係がある ('to have a connection') — 'there is no connection.' Together the sentence is a frozen piece of legal-protective phrasing.