Google Play services is an Android library whose goal is to provide:
If the feature from Google Play Services is essential for your app there would be no way to get your App working.
You can check if the services are enabled from within your app with
ConnectionResult.SUCCESS if Play Services is available.
You can now try to convince the user to install it (if possible) or disable the feature that is using the service.
As the Google Play Services is not a feature declared in the manifest your app should install fine on any device but may crash later on if you are using the APIs without checking if they are available.
You can try the behaviour with the emulator. Just create an AVD without the Google APIs and put your App on it.