Not the D specifically I don't think....it is the abnormal calcium levels that cause paresthesias which are very similar to PN symptoms. The difference is that paresthesias, are temporary and when the electrolyte balance is fixed, should go away.
Our sensory nerves are for sending warning signals. These can be external in the environment, or internal metabolic derangements. Or a combination of both. If you remove the trigger, the signal reverts to normal. That is what a paresthesia is.

PN is actual nerve damage, that does not go away as a rule.
Sometimes healing can happen if encouraged, but most PNers don't know that and don't look for that, and only live on symptom suppressing drugs.