It does, yes. When you make a post or comment, there's a tick-box with 'Notify about replies'. It's ticked by default, but unticking it before you submit means you won't get notification about replies.
After that, you can change the status using the same bell icon that you use for other people's content. To subscribe to your post, I'd change the bell from struck-through to clear, and to unsubscribe to my own post, I'd change the bell from clear to struck-through.
(edit just to see if doing so forces lemme.ee to resolve it)