Here's the problem: a coffee pot gets hotter when there's water going through it.
The same heating element that warms the bottom of the carafe also heats a small section of tubing meant to boil water. This, along with a simple check valve, forms a bubble pump, which is how the hot water gets up to the coffee grounds.
There's a thermal switch that allows full power when that coil of water is below a certain temperature, and when it gets hotter than that, it switches to a lower power mode, because with no water to boil, all it needs to do is keep the carafe warm. I don't have the numbers in front of me but I doubt it would get hot enough to properly cook chicken.
It does, there are multiple people on youtube that have effectively cooked soup in their coffee machines and used other appliances for food like the dishwasher for example.