Is it possible to disable Google Play updates? Is it possible to disable updates to Google Play and Google Play Services?
I have automatic updates switched off, but this 2 Google apps are upgrading itself without my permission, and I can only helplessly watch how the free space is decreasing to the amount, my Gmail synchronization is not working anymore (related to Does the gmail app stop syncing once the &quot;Low on space&quot; message appears?).
I know I should root my phone to move apps to SD completely, but I don't want to do that before the end of summer, to not risk not having mobile internet in case something goes wrong.
Edit:
Device is a HTC Desire A8181, aka HTC Bravo.
The Google Play and Google Play Services, yes, they have increased in size, due to ever-evolving updates to Android. The only way you can stop this from happening is to have no Google related apps on the device. 

Why do you not want to root it, in order to put apps on the SDCard? 

Rooting does not interfere with the Mobile internet, and furthermore, Play store and play services, cannot be moved to SDCard anyway, so if that is what you thought of there, it will not work.

What device are you using in order to enable a better answer..? 

If you were rooted, then you could remount the /system as re-writeable, and remove the app called Vending.apk and reboot, which is responsible for pushing app updates via Google Play Store.

Amendment: Cheers @Izzy for pointing out about MarketUpdater.apk also, note from the comment below, Izzy suggested "freezing" the apps, by freezing, it means to stop the service and effectively disable it, Titanium Backup can do this for you but does necessitate the need for root.