Generative AI tools are hailed as a motor for revolutionising our work and life. Recently, tools based on large language and foundation models, such as ChatGPT, have also become a hot topic in interaction research and interaction design. This paper contributes a discussion of whether and how Generative AI tools can be used to augment interaction research and interaction design throughout the whole process of Human-Centred Design for Interactive Systems as defined by the International Organization for Standardization. The paper compiles an extended, up-to-date version of the process model covering highly relevant additions of methods bridging the gap between interaction research and interaction design in each of the processes. It then suggests Generative AI tools to support those methods. Finally, it discusses vital aspects of interaction research and interaction design concerning the current design practice, the respective design situation, and the design circumstances at large.