I think it is technically not allowed, but I have heard of one exchange where the permit holder called in and added an alternate leader's name to the reservation. Reservations can be picked up by either leader or the alternate.
That would certainly work better, easier, etc, than trying to arrange phone calls with FS personnel, permit holders and actually exchanging permit dates.
Everyone who's entered the Whitney Zone or has permit dates is on the FS computer and easy for them to pull up.