The answer is a clear no.
We're 12 episodes in and aside from romance nothing has happened. We still know nothing. Well almost nothing.
The flute probably means time travel and between worlds. It's broken so I would assume neither one has control over it.
There's a sword in a box. Woooo.
Lee Lim has been murdering and replacing people for ??????
That's it. That's the whole story and almost nothing has progressed since Episode 1 aside from the romance.
We've been spinning tires in mud for 11 episodes. I don't have any faith that this will wrap up in the remaining 4.
Instead of answering things and slowly revealing to the audience... they're only giving us more questions.
Edit: It really feels like the writing and directing team had no idea where to go with this. When you go with time travel you have a few options - a more episodic approach (this show is not doing that) or a more artistic reveal of what the characters are doing. We are getting neither. Nothing is being explained to us. The reveals are just "oh another person traveled!". The reveals should be explaining motives, explaining why characters are who they are... not "Yep I traveled to Korea and back to the Kingdom" in episode 12 when the show is almost over.
People are acting like this is a high brow TV show... it's not. The writers are just keeping everything open ended.
Is Court Lady Noh a traveler? Maybe. Does she have that scar? No. Maybe it has something to do with the flute being broken and maybe she was brought here with the working flute (who knows why once again... couldn't find a Court Lady in all of the Kingdom of Korea? The show isn't intelligent or smart and has not revealed anything to us, just more open ended garbage).