I do know one or two people who have done this, all worked in the City.
However, these type of people are often very driven, and my experience is they tend to then set up companies and do businesses, just for 'fun'. It's kind of odd he's just pottering around doing hobbies and perhaps suggests a different route to his retirement (inheritance, not needing much money?)
The only way (I always tell my girls this) to know someone is to see them repeatedly over time, observe their behaviour, how they are with their friends, how they treat other people. If you are alert, you will pick up anomalies, or things that don't sit right, or that he's not got any friends or whatever- including about his business affairs. I would not ask outright, but as part of getting to know him better on every level.
I absolutely would not be cross-questioning him on a third date about his finances, that's not your business, and it's up to him when and if he discloses all that, I suspect he wants to find someone who trusts him and doesn't see him as a meal ticket, and that will only happen if you genuinely get to know him and like him for who he is. Your biological clock is not his problem at this stage- and I think you just have to accept that unless you want to take a giant risk and end up in hot water with a baby and no great husband, then it will take a few months, or even a year or so to work this out.
He sounds ok so far, but don't cross-question him, find out if he's fun, reliable, has good friends and family, has good values, if you don't know these things you don't know him and you can't then assess whether he'd make a good partner. All women on the Relationships board trying to get out of financially abusive or DV situations probably felt the first two dates went well, it's over time that people's true nature is revealed.