Out of the box, no, there isn't a way to group the fields. You could probably wrangle them into a group by doing the same dance I suggested earlier (create a theme, override /template/clearspace/edit-profile-rows.ftl, map theme to URL) with a little bit of work. Great feature suggestion though!
Thanks for the suggestion.
I will try this out. I think it would make a great Clearspace feature. Any chance of it being rolled in as part of a release?