You get to critical reactor with just assembling materials of correct chemical composition to a correct geometric configuration.
The most difficult part is probably acquiring the nuclear material.
I've never built one, though :)
https://en.m.wikipedia.org/wiki/Chicago_Pile-1
The physics what we are looking at is the fact that neutron capture requires neutrons that go at a very specific speed. So, the nuclear fule creates some initial neutrinos that go fast, the carbon slows it down to a sufficient speed that they are captures by rest of the fuel, which then causes more chain reactions.
This is the reason reactors are a bit delicate - not enough neutrinos or wrong speed - no reaction. Too much - booom.