Composting

Sure. But it's even better to build a compost toilet and compost your pee, poo, menstrual fluid, toilet paper, and any other organic material that would normally go into a flush toilet, like the occasional vomit from food poisoning or whatever. (Any pathogens will be killed in a properly maintained compost bin.)

You can get free instructions for building a compost toilet and maintaining a proper compost bin from the author of The Humanure Handbook (click "read free online" and then scroll down):

https://slateroofwarehouse.com/Books/Joseph_Jenkins_Books/Humanure_Handbook

Just want to note that composting doesn't occur in the toilet, which is merely a receptacle. You empty the toilet contents in batch mode, like 5+ receptacles all at once, into your compost bin, then clean the receptacles all at once and cover the new material added to the bin with fresh cover material to prevent odors. I mostly use hay and yard scraps as a cover material outdoors, and shredded leaves as a cover material indoors.

I've read The Humanure Handbook maybe 5 times and consider it one of my holy books, along with Dune.