Is it possible to Send USDT without BTC as Miner Fee?

It is very troublesome when I wanted to send some USDT-omni to an exchange or my friends from my wallet, I was stuck because I found out it required me to pay some BTC as the miner fee. But I had NO BTC in my wallet! So I had to transfer a little amount of BTC to this wallet. This was very annoying and time-consuming.

I am asking if it is possible, technically, that I send USDT-omni out of my wallet without paying BTC as miner fee? Or is there any wallet already solved this problem that requires no BTC as miner fee?