Good idea, and well presented, feels a lot like Baba Is You (a great way to score points with GMTK!).
You have some good ideas for additional mechanics too, like the ghosts who mimic your movements, and where the shape of the room restricts where you can roll. There are some good elements for puzzle design here.
I think the dice roll mechanic could have been executed better though, the dice don't behave the way they should when they are rolled. (eg, if you have a dice with 6 on the top and push it over twice in the same direction, then 6 should be on the bottom, so if you roll it twice again in any other direction 6 should be back on the top. This didn't happen in the game which means the player kind of has to roll the dice randomly around until it lands with the right side up. If the goal was for the dice to have random numbers when they are rolled this isn't really clear, and also makes solving puzzles very frustrating for the player.
I'd also take a look at how a dice is set up - ie, how each face connects (opposing sides on a conventional 6-sided die always add up to 7).
Good work, I hope you develop it further!