Thank you for demonstrating that a Gi does indeed fit in the wet compartment. A lot of bags like the Tatami Omega have a wet compartment that is too small for a Gi.
Yes, they have a laptop pocket that is inside the main compartment along your back. It is large and will fit most laptops. I wouldn't buy this if the laptop compartment is the main concern of your bag. IMO gym bag and work/school bag should be separate BUT this bag does suffice if you need to throw your laptop in there in a pinch.