does a air/oil cooled engine may overheat?

I have a Katana 750 wich is air/oil cooled. I was wondering if my engine can overheat in certain condition?
Last weekend i was stuck in traffic for 20 minutes in the L-H lafontaine Tunnel in montreal. It was so hot in there, with a minimum of ventilation and all these cars running on the idle... I felt like i was about to fade out. and my bike was felling the same way. it was like being sit on a oven

Then when i release the clutch my bike choke out and don't want to start. Just like if my battery was almost dead... my starter was turning just a litle bit.. like a lack of power. I park on the side, wait 5 minutes, and then restart my engine. everything went back to normal!

does the heat can cause that? I don't want to be stuck in this tunnel... ever! :x