RoboSpice is designed to make it easy to write network requests that are executed in background. So, yes, it can help to extend the session on the server side from the client side.
Nevertheless, RoboSpice has nothing to do with a timer. So, to achieve this, you will need :
- to use the alarm manager of Android
- then give it a pending intent to wake up a service of your own
- this service can use RoboSpice to create a network request that will extend the server's session.
Details here : http://developer.android.com/training/scheduling/alarms.html
Don't forget to unregister properly from the alarm manager when you don't need your session extension anymore or you will drain battery.