Hey there!
Whilst this option is currently not possible within the customer feedback tool, I have received an interesting idea from another customer which you could use as a workaround to achieve your goal.
- You could create a custom property following the steps here.
- Then, you would create a workflow using enrollment triggers based on a contact’s list membership.
- Then you would add an action to update a contact property.
- Next, you would select your new custom property ‘Member of List X’ for example.
- You would update all contacts with a value of ‘YES’ (as an example).
Finally, in your customer feedback survey you could then choose this new custom property as your enrollment trigger in order to send to contact’s who are a member of a certain list.
I hope this workaround helps in the meantime ! 
Aebhín