Drafts does not store content in files whereas Obsidian does, so you cannot sync drafts automatically.
You can, however, have an action that exports a drafts into an Obsidian vault. When you have completed your draft, you would select the action to trigger the export. Drafts doesn’t auto trigger any actions so this would have to be manually triggered; though I guess it is possible to schedule actions to run externally to Drafts, but this wouldn’t be able to assess the “state” of a draft.
There are a number of posts already that cover how you could use actions to export to Obsidian.