If you use technology for display (FrontEnd), you can. Not that it is not possible to execute events, schedule data processing, and so on. But by "Ease", yes.
With React-Native you can create the interface, since ReactJS technology is a UI framework, ... building user interfaces ... ".
You can schedule an event or function in the component lifecycle (React Key Concept) for each time you open that "List", it makes a request to a Web Server (WebService) and displays that list.
I would not need a Button. Just open the application and it would update the content every time you open that screen.
Using Fetch , together with ComponentDidMount () you can achieve your goal without much difficulty.
The level of difficulty varies according to your knowledge of Javascript and React technology.
I hope to have helped, good development!