Probably not. At least, the alignment isn’t causing the shaking. That’s either going to be a wheel out of balance or something loose in the suspension or steering.
Wheel Alignment Service
Either way, it’s something you need to have checked and repaired: It can indicate a dangerous situation in the making.
Take your car to your local Cottman center and make sure you explain the details of the vibration. Don’t just ask for an alignment: It won’t fix the problem.