You’d want to host on a device that’s hardwired into the network for optimal stability. I guess it could be technically possible to do if you hate yourself. I’d probably recommend using an old desktop computer if you have any laying around. If not, no os computers can be found for less than $50, you would just need a hard drive. My favorite source for old computers is the MSU Surplus Store.

Interesting idea.

Short answer: No.
Long answer: I’d like to see some madman do it.

Recommended: Cheapo VPS. Seems like there are starting to be managed options too.

Possible: PC, but read about the risks of self hosting web services. Actually read about security regarding anything that you do yourself here.