I'm not a baby boomer, but did manage to buy my first house in the early 90s - then sold it at a loss a few years later.
BUT - having done some maths. Back then, interest rates were 15%, and mortgages generally about 2% above that.
Our first house meant our mortgage payments were nearly 600 pcm, and I earnt quite a bit less than that. Nowadays, the same house sells for over 100k, but with lower mortgage rates, the monthly payments are about the same. People do earn more now than I did 27 years ago, so I would assume that a pair of young professionals like DH & I were could afford it. They may take longer to get together a 10% deposit, but it isn't impossible.
We did 'go without Costa' and then some (no car, very limited food budget, no going out, no movies, no holidays, only drank water or tea, no new clothes except what our parents bought us for birthdays etc.) to pay for our first house, and I spent over a decade of my life having to watch every single penny I had just to make ends meet. There was even a time when the hot water AND the heating broke down in Feb and I just had to sit in the cold.
I know that it's tough when you're trying to scrape money together. I know that we were both in graduate jobs (and I earned a whopping 5k per year!) and that it is really disheartening to think that you can't even afford a pint at the pub. I had to live like that for so long. Finding the money for basics like tampons and bread was difficult.
And that's what it took. I don't actually think that the younger generation should just go without a Costa coffee or two, but when I say I cut back to get my first house, I really did live in very "poor" circumstances, but I did at least have my tiny little starter home due to that. It was only people with graduate jobs who had a hope of achieving that back then, just like it is now, and people in the SE had no hope of getting a home for several years.
It doesn't actually seem that much different.