Yes. A React Native application can use data returned by Moralis APIs. Make authenticated Moralis API requests from a backend you control, then send the data your app needs to the mobile client. This keeps your Moralis API key out of the distributed app, where it could otherwise be extracted.
Your backend can call the Moralis Data API through HTTPS or a supported SDK. Use the current API reference for the endpoint, request parameters, and response shape. Do not embed a Moralis API key in React Native source code or bundle it into the app.