No panic! Nothing is impossible but, you have to understand that UAV is the direct responsable of what your Pelican is doing, I mean:
jets must receive power controlled by central unit which, not only provides power as you tell it to fly but, also, must keep the pelican on asset so there will be some logic to program into it. Give a look at
Sparkfun there you will find anything you'll need.
So the batteries must provide power to the central unit as well as jets in order to lift with a certain power
( Power = Work / Time | Work = Force * Space | Force = Mass * Acceleration ... ) The Mass is the main variable: our mass will be: controller weight + jets weight + batteries weight + Pelican structure weight.
On sparkfun can be found batteries (+ batteries charge control unit) and UAV controllers (usually designer for airplanes but can be programmed for hover jets too) we can have an idea of average weight of both.
About the Pelican structure mass I suggest you to finish everything to have the real thing to put on a scale but, making the artwork keep in mind you will need to fit in it batteries, jets and controller which must be held while hovering and the structure must be solid enough and lightweight as well.
As a matter of facts we gotta deal with some variables:
structure strength, structure mass, jets+batteries+UAV mass and size, batteries power per hour; in your case science cannot be exactly and you will need to make some experiment and take parameters a bit over the average to contemplate the worst cases.
About the batteries, jets and central unit space aboard the Pelican, are you contemplating such?