BoK says: possibly. Rohan suggests a weekly quest that rewarded 70g instead of the daily 10g reward we usually get (not including the XP bonus which kicks it up to 13g). Players who don't have time to run every day, but do have the weekly availability (like me -- I play mostly on the weekends), would be able to still pick up the reward. I'll go one step further, in fact: what if we had an option? What if we could choose to run a quest daily (and get a bigger reward overall), or run it once per week, using up all of our daily chances for that week, and getting a smaller total reward? That seems to be the best way -- those who could log in every day would get a larger reward, while those who couldn't could still get more than just the single daily.
Rohan also says that Heroic and BG quests should remain daily, and on that we agree: those quests are perfect for creating variety every day, and getting people to run those instances. In fact, those would be fun to see expanded -- maybe Blizzard could create weekly series of daily quests that followed a small storyline across dungeons or BGs. Blizzard has done a pretty good job balancing out repeatable content periods, but it's always nicer to have more options.