Hello John,
Yes this technically would be possible using RSVP Pro.
You would have a registration session for each day. Then you could create a select list for the times with an capacity count of 1 for each time option so it can only be purchased once.
We are currently working on a demo but it is not yet active.
I am using it on <!-- w -->
www.manxmtb.com<!-- w --> if you want to see the registration capabilities.
Thanks
Tony