I haven't seen any evidence of binance supporting it. But you can claim the fork coins without revealing keys to your LTC funds (although you'd have to move them to a new wallet after the fork time). Hive account@rasor did a nice breakdown of process: https://steemit.com/litecoin/@rasor/how-to-safely-and-securely-claim-your-litecoin-cash-from-the-litecoin-hard-fork