That depends - Chess960 doesn't have different castling rules from normal chess, it just has additional considerations that normal chess does not.
In other words, Chess960's castling rules are completely consistent with normal chess castling rules, so depending on how it is implemented, it might just work.
It depends on how exactly you define it. If the standard rule is as commonly taught "king moves two spaces and the rook hops over", 960 isn't the same. If the rule is "king moves to c or g file, rook moves to d or f", then it is the same. Those rules are equivalent for standard chess but only the latter ports to 960 properly. (We're probably agreeing, in that's what you mean by depending on the implementation, I'm just spelling it out.)
In other words, Chess960's castling rules are completely consistent with normal chess castling rules, so depending on how it is implemented, it might just work.