You need to be vigilant even if you download from App Store (Apple) / Play Store (Android).
Fake apps in the name of Phantom is possible, best thing to do is go the Phantom’s Website (on your mobile) and click on the respective app for download, this will redirect you to the correct app!
This is not fool proof! If you wanna be safe, best to get help from the people you know in the forum, who are using Phantom Wallet!