Can Nation's Power Grid Handle a Surge of Electric Cars?

Can Nation's Power Grid Handle a Surge of Electric Cars?

Where my mother lives in the UK, they handle electricity surges in a practical way. Every neighborhood has two set periods (I think of about 2 hours in length) when electricity is on cheap rate to encourage a subset of the population to do their electricity-intensive tasks then.

One can run the clothes washer and dishwasher at other times, but if one does, one pays a higher rate.

Wouldn't it make sense if people were able to charge their vehicles at their workplaces?