Cloudflare Pages with worker fallback

We’re testing converting over a React App, with server side rendering (for bots only) to user Pages/Workers.

A feature which would be incredibly useful is to serve the static assets (e.g. favicon.ico/manifest.json) without hitting a worker, essentially having the worker as a fallback when no static asset is in the build directory. Is this possible with the current system? I’ve not yet found a way to have the static assets not trigger the workers, even though we could serve the asset from the worker, it just seems wasteful and would rack up extra charges, and slow things down.