The ‘full state pension’ generally means £221 pw.
For a couple, sharing the overheads and in their own home with mortgage paid off this might be doable.
For a single person , covering all bills, food, house insurance, paying 75% of the council tax , TV licence , boiler service, winter heating, having a fund for a new washing machine / boiler / roof / general maintenance: no. Downsizing to a flat would keep some bills such as CT down (pensioners might only be heating one room anyway) but will bring service charges and ground rent.
This is why so many were upset, and seriously disadvantaged, by the Winter Fuel Allowance cut.
There are far more single women than men living without additional private or occupational pension for all the usual reasons , especially if they are single mothers, in low paid work and most of their working life was before employers pension contributions were compulsory.