Yes, there are many exchanges that don't ask for KYC verification and provide their functions. Some of these are MEXC and CoinEx, among many others. However, among all those exchanges, I think CoinEx is better to use because, as a non-KYC exchange, it still provides a daily withdrawal limit of 10,000 and gives full rights to the users' assets. They were hacked, and the company faced many losses, but they still ensured that they would compensate the affected users. So, as a non-KYC exchange, I believe they are better. One more thing, they are fully secured now because of their new developments in the security sector, which make them more secure.

This is just my suggestion for now, and maybe in the future, after my post, things may change because anything is possible at any time. So just keep the idea from my post in mind and do your own research (DYOR) before getting into it.