Afraid not, Dave the app in question is one of those built in to the car as part of the "entertainment system" like the satnav for example and is not the same as an app you can download to a smart phone.
I think you are on the right track though as it does look more like a problem with the servers which should be providing the data rather than the car, However if that is the case I'm mystified that it is not being reported by every other iPace owner who should also be unable to connect to those same servers.
I'll update this thread in a couple of weeks if anyone is interested once the garage have taken a look at it when it is serviced.
Thanks for your interest!