If you have or can obtain basic qualifications - GCSE Maths & English, but more importantly have the right persona; trustworthy, sociable, friendly etc. it's possible to land a job in one of the UK's major banks.
I can't speak for all of them, but one in particular has been recruiting individuals from all walks of life. I know of at least half a dozen people who have managed to secure a position in the past few months without any previous banking experience. All of them enjoy it.
It's best though, if you live close to one of the busier major branches which have a business centre. A lot of the quieter, smaller branches that only employ a couple of staff are slowly being phased out due to internet banking etc.
Apart from maybe one or two weeks training outside of the bank, everything else you will learn will be "on-site".
The bank is NatWest.