Is this actually a thing that’s used in daily japanese? (Stuff such as イィ?)

I can’t remember the book I read it from (its been a while) but there was a book I remember seeing with examples of writing like イィ – Yi or Ye (can’t exactly remember)

I’ve only ever seen this in this one book and I don’t ever see it mentioned anywhere else if I can find the book I’ll link it. Plus when reading japanese websites (stores like amazon trying to grasp and improve at reading) I’ve have yet to come across this in actual reading.

edit : not the original book [But found this through google](https://www.deviantart.com/learningjapanese/art/Katakana-Extended-2-256400832) with some of the extended katakana. Was curious on how often extended katakana is actually used?