It's an evocative quote, but it's also nonsense. The selection of skills is a bit scattershot, but let's look at some examples: "butchering a hog" takes a year to learn, well, butchery to a professional standard, because someone who can butcher hogs but not cows sounds awfully 'specialised', some places even say that a butchery apprenticeship takes 24 months. (And I personally wouldn't trust an unqualified butcher to process meat I'd be eating.) Building a wall is easier, you can get a bricklaying certification in 8 weeks. Learning to "Fight efficiently" and "take orders" takes US army recruits 22 weeks (and we can throw another 12 weeks of officer training for giving orders and generously allowing this to count as 'planning an invasion'). Computer programming, sonnet-writing, account balancing, cooking and solving equations are actually part of general education, so let's ignore those. Basic first aid only takes a few days, and pitching manure can be learnt in under an hour. But then we get to "design a building" and "conn a ship" (not a boat, a ship). Conning a ship is a bachelor's level qualification in of itself, and designing entire buildings is a job for a chartered engineer, which requires years of experience and another bachelor's degree, so we're taking probably ten years of full-time training for those two alone. And I would not want to be on a ship piloted by someone who'd been on a 3-day course or live in a tower block designed by someone who'd read a couple of Wikipedia articles. Then we'll throw in a 4-year degree in whatever they're actually doing, and you're looking at a society whose adults don't start entering the workforce until their mid-thirties, and a newbie doctor or research scientist or some other field which requires postgraduate qualifications is probably in their early forties. This isn't even remotely viable as a way to run a society. And it's also implied that that list isn't even exhaustive, so the real numbers are even worse if there's some other complex safety-critical thing that Heinlein also felt should be on the list, like 'fly an airliner' or 'manage a chemical plant'.
Maybe with sci-fi anti-aging techniques that mean people can still be expected to be healthy and productive in their nineties, but in the real world, Heinlein's generalist utopia is pure fantasy.