A:
A single member cannot demand that this voting method be used, but the chair could treat this kind of request as an (informal) motion, then ask the assembly if there is any objection to voting this way.
If there's none, it can be considered ordered by unanimous consent; if there is an objection, then the chair opens the question "shall we vote by multiple ballots?"
Multiple balloting is quite common and, although it takes longer, tends to be fairer by allowing someone who lost the election at one level to run at another.