Permission possible for cross-chain NFT holders?

I’m putting together the requirements to get a smart contract developed, and want to make sure I don’t add something impossible:

The contract will have crowdfunding-like functionality, but only NFT holders are allowed to contribute to the contract pool.

For each new crowdfunding project, the contract will be cloned and deployed on the relevant chain e.g. project A might be on ETH, while project B might require the contract clone to get deployed on BSC, etc…

My question is:
if the NFT holders have their NFT on ETH while a clone contract gets deployed on BSC then will this BSC contract be able to detect that the NFTs are held on ETH?

p.s. I'm not a developer so apologies if I'm not using the correct terminology