Can local EAS builds be submitted to the app store?

You can convert it to an APK using bundletool.

Something like:

bundletool build-apks --bundle=/MyApp/my_app.aab \
    --output=/MyApp/my_app.apks \
    --ks=/MyApp/keystore.jks --ks-pass=file:/MyApp/keystore.pwd \
    --ks-key-alias=MyKeyAlias --key-pass=file:/MyApp/key.pwd

You will need to download your keystore using eas credentials. Instead of storing the passwords in a file you can specify them on the command line using pass:<yourpassword> instead of file:/path/to/file

There’s also:

bundletool install-apks --apks=/MyApp/my_app.apks