There is not currently a way to delete/edit a pickup contact that you have added for a pickup location, but I can definitely see the need for this. Thanks for posting this idea!
I have an issue where I have a typo in the Default Pickup Notes attached to a Pickup Contact. I need to edit or delete those. An incorrect gate code entered there is causing problems with our pickups since it is too easy to click on the first name in the list. Please escalate the priority of adding a mechanism to Edit or at least Delete these contacts.