Yes, you can list your crypto wallet's Public Address. Please do not include your Private Key or Private Address on your profile for security purposes. Please verify your Public Address with the crypto exchange vendor you use and use the correct coin address so that there will be any errors when someone tries to trade with you with that specific type of coin.
To understand more about crypto wallets, you can visit Crypto Wallets Vs Exchange: Where To Store Your Cryptocurrency? - moneycontrol