Atleast in the demo version there's no card that prevents height theft. There are however cards that can steal height. Curse of Belial in succubus decks steals 25 height per turn. Succubus decks are also special in that the hp they steal is granted to you as permenant max hp.
Although it takes a lot of height sacrifice to set up quickly with the witch elders doubling spell counters at the cost of height you can sacrifice near 2k height to be able to gain 5k height through coven cards. There's a card that conditionally gives you Bellatrix. Bellatrix has a couple different forms and it's the 2nd form that can perform massive height stealing at the cost of sacrificing all your spell counters.