NACS supports either one or two phases for AC charging which would be used in most home chargers. A really high power charger would use DC with the AC/DC conversion happening before (and that could be from a three-phase source)
There is no such thing as two-phase power, there is single-phase or three-phase. Since three-phase is better than two-phase.
Lots of european homes have 3-phase service. I have 3-phase 400V in my flat.