My email account was hacked

Currently Im using an iPhone 8 and I need to some information and perhaps someone can help me.

My email account was hacked recently and the hacker send me an email saying that he build a virus on this video site in which I watch sometimes.

Now he is saying that during the time I watched some film on this video site my browser started out operating as a RDP ( remote control )with a key logger which granted him the permission to access from my iPhone screen and camera.

Can somebody please advice me if this is possible?

Thank you

[Re-Titled by Moderator]