I'm often asked about this, particularly when a new edition of PRINCE2 is published.
My answer is: Possibly.
But I don't believe there should be.
My strong feeling is that PRINCE2 has stood up so well in the last nine turbulent years, and this is largely due to the fact that it was designed from universal, timeless management principles. The method is not based any passing technology or on some ephemeral management fad. What you will find if you look carefully are explicit principles running all the way through it. This is what makes PRINCE2 so scalable in the hands of an intelligent practitioner.
Take, for example, the very first sub-process we find in the Process Model-SU1: Appoint a Project Executive & Project Manager. Many get snagged on this immediately,when the can't find a suitable Executive or someone that has the job title 'Project Manager'. They miss the point, and miss it quite fundamentally. It is the underlying principle that helps us understand how to apply this sub-process in any given situation -'To get anything done in a project, you need a decision- maker and someone to undertake the planning,' (page 29). Who would argue with that?
Words may change. References may be tidied up, but if PRINCE2 has identified all the universal principles of project management, I don't believe we need a PRINCE3.