Is it possible to assign story points to issue types that are incidents? I can do this for tasks but the field doesn't appear for me when I choose incidents.
Yes, it is possible. You just have to add the story point field to the screen that the incident issue type is using. You can do that from either Project settings > Issues and then click on the screen scheme used by the issue type and then add the field to the screen. Your other option is to go to Settings > Issues > Custom fields, search for story point and from the three-dot menu select Associate to Screens and add it that way.
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