Hi,
Yes, you can.
Create custom date objects(or Relative Dates) in the Universe. For example: Current YTD, Previous YTD, Current Quarter, Previous Quarter etc. Use similar date objects that fits your need. Add your criteria in the Query Panel of a WebI report using those objects. Go to BILaunchpad and Schedule the report.
When you Schedule, the custom date objects will be evaluated and the data will be returned to the report.
Hope that helps.
Irfan