Could someone create something akin to a 1995-2000 time period processor without specialized equipment?
What about slightly earlier, like the "computer pioneers" did?
Still no. The first computer pioneers were government funded, while the personal computer pioneers used commercially available parts to build their own computers. Could you recreate say the Apple Mac (Mac 128k) by hand with the right ICs and wiring? Yes. People have. But its not practical let alone trivial.
There are some experiments in tediousness where simple computers are hand made, but often still use mass produced ICs.
Intel’s fabrication plants can churn out hundreds of thousands of processor chips a day. But what does it take to handcraft a single 8-bit CPU and a computer? Give or take 18 months, about $1,000 and 1,253 pieces of wire.
Steve Chamberlin, a Belmont, California, videogame developer by day, set out on a quest to custom design and build his own 8-bit computer. The homebrew CPU would be called Big Mess of Wires or BMOW. Despite its name, it is a painstakingly created work of art.
Examples in pointless endeavors, for brag points. 4-bit transistor and passives processor.