Whilst I don't think it's possible to reliably determine whether or not a user has manually turned their clock forward without network access, you can of course reliably determine if they've travelled back in time. And since we know this to be physically impossible it can therefore be assumed they have manipulated their clock to cheat.
What I mean by this is, isn't the usual process to trigger some action in-app that requires a period of waiting, exit the app and turn the clock forward, re-launch the app to gain whatever they were waiting for and then reset the clock back to the actual time?
If this is indeed the case, then to build on the suggestion by @smgambel, you could store the physical time and current time-zone on each launch and compare with the previously stored time and time-zone. If the time is behind the previously stored time, and the time-zone of the device hasn't changed then you can safely assume the user has manipulated the clock.