message being passed between
Sequence Diagram match with the
In theory, yes. Each message in a Sequence Diagram corresponds to a method in the Class Diagram.
In practice, showing everything in your Class Diagrams tends to make them unmanageable and hard to understand. For that reason, it is often best to leave out all the little details that aren't needed to bring your point across and that often includes some or all of the methods and/or properties that a class has.