Can an Android app delete itself?

No you simply can’t. At least not for the phones that are not rooted. You can take the user to an Uninstall screen, but they would have to click on “Uninstall” to uninstall the app.

Can an app delete itself?

If you’re new to iOS 11, you may have noticed that some apps are “deleted” at random or even apps uninstalling themselves. … In fact, your apps aren’t really being “deleted” — they’re being offloaded. The feature is called Offload Unused Apps, and it can be turned off (or back on again) really easily.