No it is not possible. You have to have some minimal ETH value on the same address to move your Erc20 tokens. That's one of the downsides of receiving tokens, especially if they are not worth much. You have to spend money to cash them out (transfer to exchange or move them around).
It's cannot even being considered as a disadvantage while the fees is merely few pennies and what's good is that the money goes to the miner directly not to some middleman that take tons and tons of money from just making an ordinary transaction. See other payment processor you will be shocked by the ridiculous amount of fee for sending money.