Accessing the crypto under a certain address could be done with using a private key. By exposing your private key to someone else, you risk losing all your fund as private key allows people to send transactions. Keep your private key safe and never expose it.
What about the wallet address (a.k.a. public key)?
While exposing your Ethereum wallet address (a.k.a. the public key) won't grant others access to spend your fund, exposing your wallet address will allow others to see your transaction history on the blockchain. If your address interacted with a KYC-enabled centralized exchange, your address is likely already linked to your real identity. In the case that you want to retain privacy over your transaction history, it's best to keep your wallet address hidden from the public view.