Recommended
Homebrew NMOS Transistor Step by Step - So Easy Even Jeri Can Do It
Why people recommend it
Jeri Ellsworth makes an NMOS transistor at home step by step, the usual link when someone asks whether a transistor can be made by hand.
Watch for: the process needs a very hot furnace and hazardous chemicals
In their words
No such discussion could be complete with mention of Jeri Ellsworth's work, for example:
Chris Stratton on electronics.stackexchange.com, Oct 2014. CC BY-SA.
Homebrew NMOS Transistor Step by Step - So Easy Even Jeri Can Do It
Philip on electronics.stackexchange.com, May 2015. CC BY-SA.
See [video] for a high level explanation of what you would need to do to make a FET.
alex.forencich on electronics.stackexchange.com, May 2015. CC BY-SA.