No, you can't.
But you can suggest a change in the listing. The editor should check the old site, and if the move can be confirmed there, would make whatever changes seem appropriate.
"update" requests usually get processed "fairly quickly" -- that is, days or weeks rather than the months and months that some initial site listing suggestions may wait. But, as always, making a suggestion doesn't actually impose deadlines on anyone, so we can't tell when the re-review might happen.