Is it possible to personalize the My Profile page in the same way it can be done on the My Home page?

I want to remove the default Web Parts and add other ones.
I don’t want to use SharePoint Designer or edit any files manually.
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Yes – the ‘Site Actions’ menu at the top-right of the page will allow you to add / remove web parts. Anyone with ‘Full Control’ over their own MySite (i.e. everyone) should be able to do this.