There are lots of discussions and guidelines around the general use of pie charts, and most of them relate to the judicious use of segments in your pie charts.
The general rule of thumb is that pie charts are best used when there is a limited number of segments in play (2-5 but less is better), and some have even used the pie in a pie chart when there needs to be more segments but they want to try and maintain the clarity of the information displayed.
So there is no rule saying you can slice a pie chart by date (as each date would be equivalent to a particular category) as long as you try and keep the number of segments to a sensible number.