Hah.
Calorie is a measure of energy. So technically yes the hot food does contain more.
However the calorie content of food as reported on food labels is calculated by burning the food (yes really) and seeing how much it heats up some water.
Our bodies don’t actually incinerate the food of course, so it’s all a bit daft anyway, but since we process it chemically then its temperature won’t make much difference. It’ll end up at 37 degrees pretty quickly after eating.
In the strictest possible technical sense, yes hot food does contain more calories than the same food cold IF you are counting chemical and thermal energy (although the thermal energy part is tiny compared to the chemical). But we normally don’t, and it won’t make any difference in your body, so the real answer is no.