Having high voltage does not mean that you have high current. You can have all the ‘motivation’ in the world for charges to move, but if there’s no charge there, you won’t get any current. So you can have a lot of potential to make charges move (voltage) without actually having any charges moving (current). This means you can have high voltage without getting hurt at all.
A great example of this is static electricity. By pulling a sweater off over your head on a cold winter day you often feel sparks crackling… this requires thousands of volts, but does not really hurt.