Can we install Play Store on Apple phone?

Just like the App Store for iOS devices, the Google Play Store is where Android device owners go for apps and game

Because Android apps dont run on iOS theres no way to run the full Google Play Stor on  iPhone or iPa. But that's notthe end the story. 

Google does offer the Google Play Movies  TV app for iOS, as well as Gogle Play Music, and Google Play Books. You can install anyof these apps to get access to that GoglePlay content on your iPhone or iPad.