Is it possible to have an NFT on xDai that cannot be transferred to Etherium or which enacts a tax when transferred to Etherium?

As the title says. Could you have an NFT minted on xDai that would be impossible to bridge to Etherium or perhaps have an NFT which would enforce a set tax if you bridged it to Etherium?

I am interested because I am arguing with a friend about it! He believes this is the solution for those who are worried about the environmental impacts of NFTs on Eth.