The short answer to this is yes. There are very few reasons why mediation could not work if both parties are willing to enter into the process. Before mediation begins we meet with each person separately to explain the process and answer any questions that they may have. This is important because you are more likely to get on board with a process if you understand it and can see how it works. We only move to starting 3 way meetings (i.e where both parties and the mediator are present) once both parties, and the mediator, are satisfied that they want to start mediation. There may be circumstances where the mediator feels the matter is not suitable for mediation. This would include a situation where the mediator may feel one person is likely to be manipulated or coerced into agreeing something in mediation that they should not. If the mediator feels the matter is not suitable for mediation then they will explain the reasons to you.
It is also important that the mediator remains an impartial person. For this reason the mediator cannot keep a secret for either party. You must be willing to share any information that you give to the mediator with the other party. If you were to give the mediator some information that you are not willing to share then the mediator would not be able to embark upon mediation with you.