No, you can't on the current version of the Android app (they took that out recently), though you can go to a separate "Most Recent" feed from another menu -- the primary feed (and the one that gets a red badge for new messages to draw you back to it) is always Top Stories.
> doing this supposedly undoes the EdgeRank filtering and gives you a reverse chronological feed of what your friends are posting.
"Most recent" gives you a reverse chronological feed (mostly, though I've sometimes observed posts out-of-order in "Most Recent"), but it doesn't appear to undo EdgeRank filtering.
> But I find it also throws in random posts from people or pages that your friends comment on, and also keeps bumping your friends posts that are getting comments from your other friends further up in the feed, so it becomes unnavigable in its own way.
The primary "Top Stories" feed seems to do the same thing, except that it doesn't automatically push the most recent updates to the top -- it does seem to promote posts further up based on more recent interactions from friends.
Hope fb is happy with my much reduced engagement.
Besides which, it seems to switch back to "Top Stories" all by itself every so often.