can you change themes via external link?

what i’d like to do is use an iframe on another site that shows my wordpress home. Since i don’t need the headers and sidebar info in the iframe, i want it to show a minimal theme… something different than the one i’ve set in my wordpress prefs.

the real goal is to show summary info about blog posts in the iframe on the other site. how it’s accomplished doesn’t matter whether it’s styling the rss feed, doing an iframe or some other way