Centrifuges are delicate but they're not especially difficult for an industrial society to produce. They are comparable to jet engine shafts in terms of both loading and components. The manhattan project didn't utilize them because a single individual overlooked a simple method of making them more stable - you add a flexible section so any vibrations damp themselves out. German scientists claimed to have figured out this trick during the war, and the soviets implemented it shortly thereafter in their nuclear program, allowing them to enrich enough material for their weapons with only a fraction of industrial effort of the American project. Gas centrifuges for enrichment of chlorine isotopes had already been in use since 1934.

Much smaller nation states have since been able to effectively generate enough uranium for nuclear weapons programs in short periods of time using centrifuges. The main challenge for them has not been production itself, but hiding the activity from international scrutiny. Tracking shipments of materials and parts necessary for centrifuge construction has been one of the leading methods of avoiding nuclear proliferation, but still centrifuges are so effective that even a small number is enough. North Korea, for example, is believed to have two buildings worth of centrifuges, but we only know where one of them is, and only because they have given international inspectors a tour of that location. For context, North Korea's current GDP is about 1/64th of the US's GDP in 1939.