Of course - his average for that era (any era) is ridiculous, and I'm sure people in the 30s or whatever said the same thing. It's clear that he'd have been ahead of his contemporaries even if he had just turned 50, but I don't think the difference would be 99.94 to an approximate next best of 60.
If you look at the highest ever batting averages, excluding Voges and Labuschange (20 or fewer tests played) and Smith (freak - but hard to say if this is an extended peak/purple patch or what, we can only judge at the end of his career), most of the highest ever batting averages are all pre 70s.
The only modern players are Sanga and Kallis, both of whom made hay in the batting friendly 00s (clearly great batsmen, made the most of their circumstances given).
You have to go down to Chappell and Sachin, somewhere around the top 25 mark, to find modern players who didn't take advantage of the best batting conditions in decades (and that's a whole different thread re: Sachin not making hay in the 00s - his own fault/injuries etc so let's not go there).
The overall averages may or may not have gone up, but the highest averages have actually come down since the 60s. Surely cricket would have produced such a prodigious talent (not even talking about Bradman level - let's say next down to Pollock or Headley) who would have averaged 60 or 65+, especially given the easy batting conditions?
The mixture of number of tests played (see also, Ricky Ponting and his decline), number of other cricket games played (ODIs, T20s, IPL etc). All of it. On top of that, the pool you pick from is greater than ever before.
Hence I don't think it's likely that Bradman would have averaged what he did - he clearly was a man ahead of his time. And he would have likely been a man ahead of his time in the 90s/00s/10s too, but that would have meant averaging 60-75 rather than nearly 100.
(Of course, I know no one else managed to average close to Bradman even then, or even before that, - but again, the pool of people selected to play was just so small in comparison to what it is now that it makes that harder to judge. All it points to is that he was clearly ahead of his contemporaries).
Anyway this is a muddled up post cos it's 3:45am, but that's kind of the gist of it.
I guess what I'm saying is that even those who are clearly ahead of their competitors, it's harder NOW to succeed to the same level that Bradman did back then - because the average level has been raised, if not the extremes.
To put forward a completely irrelevant and perhaps erroneous comparison, but one that maybe can help explain what I'm trying to say - life expectancy. Life expectancy in the last 50 years has shot up. But the extremes haven't changed, it's just that less people are dying early than they used to. People still live as long as the oldest person used to. But most people live much longer than they used to.
In the same way, 60-75 (or thereabouts, not an exact score for it) is the new 99.