I would like to add something, since I’ve opened a TSI and somehow I asked about this and have been answered. From Quinn “The Eskimo!”:
“This depends on you mean. You have some control over how the notification appears based on how you set the UILocalNotification properties (things like alertBody, soundName, and so on). However, if you’re asking about the way in which those properties are interpreted (the things the user can customise in Settings > Notifications), those are user preferences and not exposed via any API.”