+1  A: 

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.

Andy Mikula
Thanks! I checked on 2 different SharePoint deployments- apparently I have full control over only one of my MySites.
Marek Grzenkowicz