Not according to this list:
https://unifiedpush.org/users/apps/
The paid google play version uses FCM push.
Edit: I might have misunderstood you. You want to use cheogram as a push distributor?
The app conversations which cheogram is based upon can apparently do this.
https://unifiedpush.org/users/distributors/
Edit2: Just checked it on my phone. Cheogram has the same function as conversations, so yes.