The short answer to this question, is no.

The only way that you can truly be in control of your crypto, is to remain in control of your private keys.

If your coins are held on an exchange, then you forego this control and are essentially trusting a third party with your assets.

Remember the Mt. Gox fiasco? Or more recently the Steem drama with Justin Sun and Binance?

There's a saying that crypto investors have for this:

"Not your keys, not your crypto."