Mix KYC and non-KYC transactions same wallet

Hi,

I would like to know if it is possible to determine whether two addresses belong to the same wallet (without private key).

The case study would be:

In my first wallet, I have transactions with KYC, and now I want to enhanced my system with a completely air-gapped new wallet. If I send funds from the first wallet (with KYC) to an address of the new wallet and then make transfers without KYC to addresses of the new wallet (different addresses than were sent the funds with KYC), could the non-KYC transactions be compromised?

thanks.