could the circuit above turn an input of 3.6-volt dierct current (DC) to AC?

thanks.

 

The purpose of the circuit is to generate an artificial AC in the primary of the step-up transformer.

 

If you are asking whether a Hartley can be used in building an inverter, the answer is "yes." Any oscillator can be used in building an inverter. Some simply lend more elegance than others.