How does this half screen scrollable pop up elememt is called in iOS? Have seen it in many apps so I guess it should be native one.
Even though it's common, it is not a standard UIKit element. It's a custom presented view controller (not a standard configuration). You'll need a custom transition animation and presentation controller along with gesture recognizers for dismissal. (There are lots of tutorials showing you how to do that.)
New in iOS 13, all presented view controllers have this general configuration by default (called "sheet" or "card"), but not half-screen like the one you've shown (they almost fill the screen).