I recently received tokens from my first ever bounty campaign and I was wondering if it's possible to transfer tokens from my MEW account that doesn't have any ETH yet to an exchange site like Binance?
it's not possible but decentralized ethereum exchange like forkdelta,idex you can use your private key to login in the website but you need ethereum to trade on the website.
I don't think you need ethereum to trade on any exchannge,if you have tradeable token you may trade that into ethereum or other coin if they have trading pair for that.He is asking about having ethereum in his MEW wallet.