Checkpoints between rules and stories

Is it possible or am I missing something.

Example: I have a rule like this

- rule: start conversation
  steps:
  - intent: greet
  - action: utter_greet

And then, stories like this:

- story: affirm something
  steps:
  - action: utter_greet
  - intent: affirm
  - action: utter_user_affirm

- story: deny something
  steps:
  - action: utter_greet
  - intent: deny
  - action: utter_user_deny

Bu the bot is lost when the affirm and deny intents are triggered after the utter_greet response.