Flutter custom page transition - animating old route - flutter

I want to create custom page transition animation in Flutter. I have two pages/routes:
List of radios page (LISTPAGE)
Radio detail page (DETAILPAGE)
Here is transition that I need to create.
Look only to 0:18 seconds.
As I know, Flutter enabled to use transitionBuilder inside PageRouteBuilder when pushing new route. But how can I animate widgets in LISTPAGE as part of transition to DETAILPAGE? Is it possible?
Flutter have only few transition widgets - ScaleTransition, SlideTransition, FadeTransition, ...
Is it even possible to create something like this?
How would you approach this design?

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Here's an example of how it looks
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