Yes, it is possible to live on just the state pension only.
Have changed my username as I'll give specific details, which may be outing.
I've recently retired, 66 years old. I have a state pension only, it's £230.49 per week and will rise to around £239.49 in April. It's slightly higher than the standard state pension as I have a small amount of SERPS on it, from the days when this was added for those who had no other provision.
I have never paid into any private pension scheme, and always said no when a company scheme was offered in past jobs. Mostly because I was a single parent for many years and just could not afford to pay out anything else.
For my early married years, I was a SAHM but was credited NI payments as we qualified for child benefit. Later one of my children was diagnosed with a mild disability, but enough for us to claim DLA at the time, and me carer's allowance, that gave me extra credits for those years. However, that was taken away when my child reached 16 as they were deemed able to cope on their own and they live independently now.
I currently live on my own. By the time I was in my 60's I knew retirement was on the horizon so I "future proofed" in different ways. I have always had rented accommodation so I made sure I moved to a place which would be affordable in old age - I had no savings, and no place to sell. Instead I moved to a beautiful rural area, into retirement accommodation for over 60's. These places are much cheaper, I have the most gorgeous apartment as part of an old, converted manor house, with lovely grounds. And in a little village with a vibrant community (village pub, active church, modern village hall with lots of activities etc). I pay £395 per month in rent and an extra £60 per month which covers all the bills - no problems worrying about electricity/gas/water or council tax.
On top of that there's £14.12 per month for TV licence, £32 for internet, £4.35 per month for contents insurance, £10.65 for D&G white goods insurance (engineer comes out as soon as anything breaks down).
I had a lease car which, once the leasing years had run out, I had the option to buy at a knock down price. I used all my extra money from working to buy the car as I knew it would be vital if I was living in a rural area.
Car insurance is £56 per month, car tax works out as (equivalent) £16.25 per month, petrol about £70 a month as I like to get out (and the supermarket is a trip away).
That still leaves plenty for the weekly food/toiletries shop (around £50 per week). I made sure I had completely changed my wardrobe (including underwear etc) in the year or so before my retirement, while I was still working. I don't think I'll need new clothes for a long time. I have bulk bought items like washing powder, bin bags and so forth because it's cheaper. I batch cook casseroles, soups etc. and freeze food - for one person it's really economical.
However, I'm lucky - I don't eat take-aways (don't like them), I don't spend on magazines or newspapers (use the internet or TV for news), I'm happy with Freeview TV and iPlayer (no Netflix subscriptions) and I don't drink alcohol.
I don't think life is boring, but that's subjective of course, it depends upon your interests. I've done a lot of travelling over the years so I don't feel the need for overseas holidays; I have the car and visit friends to stay with across the country. I'm very active in the local community and serve as a parish councillor, I volunteer in the local primary school and I'm active in the church....that gives me lots of friends as well as family, who live nearby too.
I have masses of interests - watercolour painting and the local art club, craft work and photography. I've joined a creative writing course in the nearest town and do several interesting courses online, including learning a foreign language. There is so much to do! I also joined the national trust as they allow membership to be paid monthly rather than just yearly, that's an extra £7.60 per month. Really worth it as I love going to all their properties, always a great day out either on my own or with family and friends.
Honestly, it can be done.