Without any of the math, my guess is it would be very inefficient. Jets consume a lot of fuel. While their thrust can be impressive, when you scale them down to the size of a loaf of bread they become rather ineffective at producing thrust compared to a propeller.
Energy loss might also be an issue. Using the thrust from jets to spin a wheel in order to turn something might mean your output is significantly lower than your input, since the little jets are gas guzzlers.
As an example, I ran a small jet engine in a lab, about half the size of a football (American). We used kerosene as fuel, and it produced about 4 to 5 lbs as max thrust. When we took the same jet and slapped a propeller on the front of it, it produce about 20 lbs. It also went through a gallon of fuel (3.8L) in just over 20 minutes of run time (I'm sure however there are much better designs, by no means was it a state of the art engine).