I think that this is basically impossible, since this cost for sending is the payment of the miners. In this situation, we can only talk about the coins that give a lot of gas for the purchase of their coins, such as NEO.
Rightly so,miners need some incentives to add such transactions to their blocks during mining.Services or exchanges that offer such services for free often do so as an incentive for user's patronage.basically bearing the cost on their behalf