Is it possible to erase all of your internet data?

No, and the harder you try to do so, the worse you make it.

It's called the "Streisand Effect"

Also note that every major Nation-State has an intelligence service that has a copy of most internet communications. You'll never be able to review, let alone modify that data.

You could go to the extremes of getting a new identity and moving somewhere which would help, if you