1997 Mitsubishi Mirage car won't start

Engine Mechanical problem
1997 Mitsubishi Mirage Automatic 187000 miles

My 1997 Mitsubishi Mirage started to get real hot sometimes while driving but mostly when I was stuck in a drive-thru pressing the brakes down and the car not moving. While on the highway the car started to smoke and after pulling over the car completely shut down but seemed as if it wants to crank but it's still not. This one mechanic stated that my timing belt needed to be replaced so that my valves or something can open. It's not the head gaskets because there was no water in the oil from what I was told. What can be the problem? Is it the timing belt