Sure you can. You're free to download from the Amazon App Store or any other app store or even get your apps directly from the developer.
You're confusing your cheap Android phone with an expensive iPhone. On the latter, you need an Apple account just to download apps, and their App Store tracks you exactly the same amount as Google's Play Store.
You're confusing your cheap Android phone with an expensive iPhone. On the latter, you need an Apple account just to download apps, and their App Store tracks you exactly the same amount as Google's Play Store.