Can you run Octoprint as a hass.io plugin?

I’m reading the plugin docs, but they seem to be for connecting to another pi, is there a way to run Octoprint from hass.io and if so would running both noticably slow down my pi (to the extent of making my lights take longer to turn on ect)

No, they are for developing an add-on.

https://developers.home-assistant.io/docs/en/hassio_addon_tutorial.html