No - schoolboy Physics 101. If you have half the voltage, the same appliance will use twice the current (amps) and it is current that does the damage. Ever had a static shock after walking on carpet, for example? That was many thousands of volts, but did you no damage, because the current is virtually nil. As another example, even though it is only 12 V, a car battery can do some damage because it is capable of delivering a very high current.
As someone who has advanced well-beyond schoolboy physics and actually understands electricity, I suggest you research Ohms-law and the relationship of voltage and current with a fixed given resistance. Short version fixed resistance and double voltage means doubles current. So yes, voltage matters - a lot.