In a way, yes.
However, you will not be able to sync from Google Play to Game Center, as well as from Game Center to Google play. You will need to sync your account to Facebook, as Facebook is a platform not exclusive to either Google or Apple. Before syncing to Facebook, you will need to download the Facebook app, as using the device's web browser may not work, or cause certain issues.
For more information on how to sync your account to Facebook, visit our 'Save our account!' article here!