Yes.

We have 3 bases in this tour (the Dordogne, the Pyrenees and the Picos de Europa mountains), and there is free time built in to the schedule in France & Spain.

Personally, I like a non-biking day from time to time.  One this day, you can choose to do nothing at all, or just do a bit of shopping or something.

When in the Dordogne, we normally do the river trip, and when in the Picos we often walk part of, or even the entire Cares Gorge.  Or if it's really hot, we've been known to go the the beach, which isn't all that far away.