Ember.js currently doesn't have baked in support for Service Worker. They want this and there's an ember-cli RFCS thread discussing strategies however a number of tooling efforts exist to help fill in this gap today.
Note: you can of course just write vanilla Service Worker code for your Ember.js apps and that will work just fine. This doc tracks tooling and libraries that lower the friction for getting this setup
Service Worker Libraries
These static resource precaching and runtime caching libraries are lower-level than Broccoli, but can be used directly