How to move blockchain.info api created wallet to be used by bitcoin core
You would need to extract the private key from blockchain.info, and get it imported into bitcoin core. See here:

I don&#39;t know how to export a private key from blockchain.info

You may need to repeat this step, if you have several wallets in blockchain.info.
Once done, it is like having two wallets, with the same privkey. Nothing prevents you from using both.