Is it possible to read SMS with broken touch and disabled usb debug? I've just broken my touch screen, but there is an extremely important text message in my device. USB debug is disabled, and I can't enable it because touch is broken. :\
Is it possible to reach that SMS somehow? Could it be reachable via Google services somehow? The device is functional and is connected to internet.
If your device has a USB OTG port (My Xperia Z1 Compact and Nexus 7 do, and I believe most recent devices do) you may be in luck - get a USB OTG adapter (mine was from a pound shop - if your in the uk try Poundland) and a USB mouse - plug them in to your phone and you can then control it. 

Its a bit of a faff at first but better than nothing.