Nice mix of Tetris and this UNBLOCK ME kinda games (no idea what the initial game was that inspired that genre or knock offs). As already mentioned clicking with the mouse would be more intuitive and it's way too easy to soft-lock yourself because you can rotate the pieces without there being enough space. I managed to create such a scenario in level 5 or so and couldn't continue. Would be nice if there would be some kind of pause menu (for a future version) to select the levels and a restart level button (this one could have been possible for the jam) in case one fucks up, like me :D
The chill music in the background is nice. Some sound effects would have been nice. Grab, rotate, place and level finished.