It really depends where the power comes from, not every charge station power comes from fossil sources. Btw driving an eBike is probably better than driving a car, at least for your health, and probably for the environment too
At the very least, the E-Bike is far more efficient at moving a single human than using an entire car.
Moving one person using a ~1500-2500kg vehicle with an internal combustion engine with ~25% efficiency, ignoring all the fuel source logistical inefficiencies.
Compare the E-Bike, at let's say 20kg of bike and 80kg of human, so 100kg, having the energy come from even dirty power plants it will still have been far more efficient and use less energy to move the human the same distance on the e-bike.
Also consider that many (and in some countries all) e-bikes are ped-elec, or electric assist, not entirely electrically motivated, and it's looking pretty good for the e-bike!