No. You don't need a private wallet. You will receive digital wallets for the most popular cryptocurrencies (like bitcoin and ethereum) directly to your Kriptomat account.
However, if you wish to do so, there is nothing stopping you from transferring your cryptocurrencies from your Kriptomat account to your own private wallet.
NOTE: send/receive option might not be available for all the cryptocurrencies you can buy, sell and store. Check the supported actions: https://kriptomat.io/supported-actions/
Do you still have any questions? Use the support chat to contact our support team or send us an email [email protected]