Can I use this circuit for a 15V voltage inverter using TC962 charge pump controller?
Figure 3-1 from the datasheet is what you want.

That generates a negative voltage from the positive supply.
The datasheet doesn't mention any requirement to generate a positive as well as a negative voltage.  The TC962 shouldn't have any trouble generating just a negative voltage.
You could also refer to the drawing &quot;Lowering Output Resistance by Paralleling Devices.&quot;  That shows two negative output inverters in parallel.  Each of the inverters is nothing more than the simplest application of the TC962:

Both are pretty much the same as your proposed circuit.