No, this will only allow you to duplicate 1 source onto 2 screens. To my knowledge, there is no simple way to do what you want to do (split 1 HDMI signal into 2 separate independent signals). There may be a way to do this through USB ports, but the quality would be questionable.
If you have a laptop that is compatible with a docking station, some docking stations come with 2 HDMI ports and would potentially allow for what you are attempting to do.
Also, if you happen to have a DVI port on your laptop, there are converters for switching DVI ports to HDMI ports.
I am certainly no expert, and there could be some device relessed tomorrow that allows for what you are asking, but this is what I gathered back when I was originally researching this product about where this stands today.