No, but probably because there's no official identity card in Britain.
I've never tried to use a false name, but it probably would be easy for many things (utilities, local government) but difficult for others (bank account).
Driver's licenses, passports, utility bills, bank cards, all are considered 'forms of ID' in the UK, which you might need to use to open a bank account or get credit, but there's no 'ID card'; there's no obligation to have a driving license, or a passport, or whatever.
I've never tried to use a false name, but it probably would be easy for many things (utilities, local government) but difficult for others (bank account).