does the neutral have a voltage?
The neutral is typically "earthed" or connected to earth ground at the source. That being said, its ideal or theoretical voltage is 0 volts w.r.t. ground (i.e. your potential, typically). So, in theory, you should be able to touch it and not receive a shock. In the real world though, we know that given the finite resistance of the cabling, the voltage on the neutral will rise from 0 V at the earthing point (the transformer in your case) to some non-zero value at the load assuming that some current is flowing. As the current and length of cable increases so will the voltage rise measured to earth. What the measured voltage will be depends on a host of factors but why risk electrocution? Use the proper PPE and keep your (uninsulated hands off).