No, Switzerland is supposed to reject the application and invite you to apply to the French consulate. Even staying the same length of time in both countries might not be enough, as attending the conference is clearly the main reason for your trip, which makes France the main destination.
In practice, you could still try. In principle, they should not refuse the visa but merely decline to process the application, which means that you should get your fee and documents back and there would be no record of a negative decision. But it's still unlikely to work.