Earlier quoted context omitted.
You can if you have decent insulation (which at least cold climates do). In fact people historically have taken advantage of cheaper night time electricity prices to shift heating to night time. Better insulation will become a more attractive investment than in the past.
> In fact people historically have taken advantage of cheaper night time electricity prices to shift heating to night time. Night time is usually when heating is most needed. Shifting AC to night time in hot regions would be more impressive.
If we are still talking about cold climates where houses are well insulated, it's a more convenient timing but not really needed. If you cut heating for half the night or even more, indoor temp won't drop too much even if outdoor temp is notably lower than day time. It might drop a few degrees as you are sleeping warmly tucked in, but that's not dangerous, and you can still heat your bedroom if you want to avoid even that slight adjustment.