Can I edit the details of an event within a recurring series?

Yes, you can. When you make a change to the details of an event in a recurring series you'll get asked whether you wish to apply the new information to future events in the series. If you do want to apply the same event information to all the other events in the series then you'll need to check the box.

Note: Applying the update to all events in the series will update all the event information for the other events in the series, not just the current change.