Right now it is not. But in the near future, this kind of prompt chaining will be possible in two different ways.
User Memory - In the future, Studios will be able to passively collect and remember information about the users. So, for example, if you have a studio with several tools built around helping people with their business they likely all require information about ‘what does your business do?’. Instead of needing to ask that everytime, the user memory feature in Studios will be able to remember and then share this information across all tools.
Actions (Connecting APIs and other tools) - We’ve just released our Actions features, which is available now in the Act tab of the builder. This lets you connect your Pickaxe to outside APIs and act in the world. We plan to expose other Pickaxes internally as APIs so that your Pickaxe will be able to run other Pickaxes you own.
As of now, neither of these features are available. They will be in the future though.
Regarding your specific question though, you should be able to recreate that fairly easily within the chatbot builder.