Nope, reality isn't non-local.

Non-local physical effects are independent of location... the effect "travels" infinitely fast. Or, in other words, all effects of the event happen simultaneously, everywhere.

If reality is non-local then special relativity must be entirely wrong because relativity excludes simultaneity. In other words, simultaneity is entirely relative. For any two events separated in space, three categories of observers exist: those where the events appear simultaneous, those where one precedes the other, and those where the other precedes the one. This is an unavoidable consequence of constancy of **c**.