Is it feasible to write a DApp that targets multiple blockchains

This question does not target Ethereum specifically, but I hope you can help me out! If my questions are too specific, I apologize in advance.

I’m trying to utilize Blockchain’s immutable + provable nature of transactions. As I currently have only one node, I assume I can only utilize a public Blockchain and hook up a DApp to it.

I know of various frameworks for Ethereum DApps (like Nethereum), though I don’t want to be restricted solely to the Ethereum Blockchain. This includes various other Blockchain-specific frameworks.

Are there any frameworks which allow for changing the framework to a different Blockchain, without too much trouble?

Also if this does not exist, would such an approach be feasible for one person without a framework?

I did quite a broad research, but sadly did not find any answers. Only assumption I have is that it’s not possible due to only Ethereum being Turing-complete, thus limiting smart-contracts for other blockchains.