Yes, Click on "Quick Links" and select "Today's Posts"

Well, no.

For example, I log on at 9:00PM Thursday, for the first time since Wednesday. Something happens, and I don't get to read all the "new posts". I log on at 6:00 AM Friday, and select "Today's posts". Is shows me "today's posts", NOT all "posts in the last 24 hours". The "unread" posts from Thursday (that is, ALL the posts from Thursday) are not shown, and AFAIK there is currently no easy way to retrieve them.

It's this ability (see all posts new in the last 12/24/48 hours) that I would find useful.