Electrum does not have its own fees, though you still have to (and should) pay the miner fees.
Electrum is what I would recommend.

There is the standard transaction fee that goes to the miners (integral part of bitcoin, all wallets do this). In Electrum, the user can define which amount they want to pay per kilobyte. (Recommended fees can be found here: http://www.cointape.com/)

If you are talking about a transaction fee that goes to the creators of Electrum, then no, there isn't.

Because the Electrum blockchain info servers are volunteer-run, it's a good idea to tip them every once in a while in the "console" tab of Electrum.