Possible... yes. Practical?????

To get the range you want, you're going to have to be able to carry a LOT of fuel. The current mdel jet engines such as those from BVM can operate for long enough IF your plane can carry the fuel.

Which power plant is used doesn't matter much as far as the control circuitry for having the plane fly and land itself. The GPS control system used for the cross-atlantic flight a year or so ago would do just as well in a jet as it did in the prop driven plane.