Using the JavaScript Code Editor, I know you can simply upload your own assets there by going to the Assets tab (documentation for that linked here). I also know you can do it with the earthengine CLI (linked here), but this requires you store the item into a Cloud Storage bucket first.
Isn't there a way to do it through my Python code?
I found this function called ee.data.startIngestion(taskId, request, callback) which sounds like what I'm looking for, but I can't find any good examples on how to use this function.
If you can just simply upload an asset through the JavaScript Code Editor without a Google Cloud account, I think it should be straightforward to do with the Python API too.
Best Answer
You currently cannot upload except through the your browser in the code editor or using Google Cloud Storage. Note that you get 5GB of cloud storage for free, and you can manage that space (and uploads) via a python API if you really want to do it from Python. (https://cloud.google.com/python/docs/reference/storage/latest)