This is definitely possible, however, there are a number of variables to consider with this in order to give clear direction on how to accomplish the desired outcome. For example, how are you handling push notifications? Expo Push Notifications is pretty simple solution. How are you handling users in your app (are they logging in, subscribing to certain push notifications, anonymous, etc.). This is important information to know what the next steps are.
Here is some documentation from Expo on notifications API:
https://docs.expo.io/versions/latest/sdk/notifications/