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.
My suggestion is also same. Create new wallet and just build your portfolio only with listed and worthy tokens.
Since there's no way to wipe it out creating a new wallet and transfer those tokens will be the very good option, if you wanted to clean out
your wallet as you are already irritated seeing tokens without value and you wanted to focus with projects that will really bring good opportunities
then wiping it away by sending it to a new wallet will do.