For binance there is a reason why the withdrawal is locked there is a security breach that is why they temporary locked the withdrawal check this news from here Binance Hack Security Breach

For kucoin never heard any news that they suspended their withdrawal.

if you are planning to buy QKC there are many exchanges where you can buy check this link https://www.coingecko.com/en/coins/quarkchain/trading_exchanges

Edit: Binance seems the deposits and withdrawals are open look at this thread someone already posted the news here https://bitcointalk.org/index.php?topic=5143634.0
So if you already bought the coin you can withdraw them now.