What you are describing are series hybrids where the power source generate electricity and the wheels are driven from the electric motor.

Nissan sells this as their E-Power system Hybrid. The Chevy Volt plug-in hybrids were primarily series hybrids when in hybrid mode.

Running the gas engine to charge the battery and drive the wheels is not as efficient as just using a large EV battery but the trade offs in cost, weight, and range may make it worthwhile for now.