I really enjoyed playing this game! Zompire reminds me of old flash games I used to play in the browser, especially the mechanics like pulling platforms, ragdolling upon death, etc. I think the strongest part of the game is the puzzle aspect. I personally thought the zombie's movement speed was well paced, the gameplay was smooth (especially the animations), and it was well explained in the beginning. One thing I think could be improved are the instructions in the beginning, since I think the "spacebar" listed as "s" for climbing walls is a little unclear. I think that perhaps a background design or lore would also be good for context, as Ava mentioned in her comment.
I think this game has a lot of potential and is going in a very good direction design-wise!