No BUT it is also not a fossil fuel. Nuclear energy gives off zero CO2 and is virtually inexhaustible in terms of future power availability. Many countries embrace this technology as an awesome step...
Yes! There are because fossil fuel have to be made up of decayed animal or plant parts. Some are not because they are naturally made differently. Others, are forged so, they are TECHNICALLY not real...
Fuel fits in fossil fuels because it is oil or fossil fuels which are used as fuel. Fuel isn't necessarily petrol , it is anything that powers something, like weetbix is a fuel for your body.