It is moving that way. It suits the government and big business. Will no doubt start with larger notes being withdrawn.
Makes crime more difficult. Less cost to government in providing currency. Makes black market economy more difficult. People readily adopting card use without PIN. Banks will love it HMRC will love it.
How would your life be affected if the government stopped producing notes?
As an aside, I gave my card to bitch in pub last night to pay £20 bill and, without asking me if I wanted to enter my PIN, waved it in front of the reader and gave it me back, without a receipt and without asking me if I wanted a receipt!