Gas is fairly clean energy, and many of the inefficiencies of electricity distribution don't apply.
It will be quite a long while before people in cold climates who need to heat their homes would switch to all electric or have anything close to local generation capable of heating their homes.
Well, you clearly can. Norway hasn't used gas. At home people have used mostly electric heaters and wood. They're now switching out oil burning furnaces and wood burning furnaces in many areas with heat pumps.
Sweden is burning trash for electricity and piping heat from those powerplants to nearby areas.
In most areas you'd need cheaper electricity, and heat pumps should be cheaper as well. But it's definitely possible.
In neither are renewables used in significantly large ways (maybe excepting the few percent of Swedish trash burning) that are applicable to the rest of the world.