I agree with Doglikeafox, I was in a similar situation insofar as I just made buying a house my priority and I devoted 3 years to saving and not spending money, saved a 30k deposit and bought my flat on my own in London.
I was on an NHS salary so not exactly destitute but not earning megabucks (and I had other debts to pay too from training).
I think when you have kids it's a different kettle of fish. You can't make savings by living in a shared house etc. But when you are in your early 20s and single you absolutely can save money; what I have seen for years and years (and heard from people!) is that basically they don't want to. They NEED a 'good car' (£250 a month for a mini on finance when a fiesta is £150, etc) they NEED holidays, they NEED new clothes every month and takeaways at £20 a pop and they need an Uber home instead of the night bus. No you don't need it. You want it and that's different.
That being said, it is demonstrably more difficult to buy a house nowadays but the days of 'mortgage 3x one's salary' are long gone.
A lot of the people I know and have seen on here have really unrealistic expectations of what they can get as a first purchase property, or they've started the process too late and are bewildered that on thinking about buying a home in their early 30s with no savings, that they've got used to a level of lifestyle that means they can't save the required deposit for a few years. Or they now have children which makes saving on a low salary nigh on impossible! I don't blame those people TBH- I think education around money management is woeful and people aren't encouraged to think of the future enough when they are young enough to start it as a habit. This is obviously 'in general' and there are lots of reasons why that might not be possible but for a lot of people it is, it's just not nice to hear and accept that you've made choices in your 20s that mean things are more difficult in your 30s.