Was yours a living donor or deceased donor? In my case, they brought several recipients of different organs together in the same hospital so that the transplants could be carried out quickly. This was a deceased donor case though, so they may have had a tighter window to meet.
In my case my kidney went on a flight from Seattle to North Carolina overnight and wasn’t transplanted until morning.
If it were so important I would imagine they’d fly the recipient out to me (or vice versa) so that the surgery could be concurrent