No, it will stay there forever.
I know what you feel about those worthless erc20 tokens that were sent to you. But you are free to create a new wallet that you haven't posted anywhere so that there will be no airdrop tokens.
I guess OP means selling them but obviously they're worthless is the project was discontinued or scam.
If he just wants to get rid of the tokens he can also just send them to another address but for me that wouldn't be worth the effort and tx-fee.