Connecting a converter output to a charge controller input is a good way to fry them both. A solar panel is a current source that can operate at most any voltage you hook it too. A converter output is more like a power supply at a pre-set voltage.
I don't know why you would want to do this anyway. There's no advantage. A good quality converter (charger) should charge your battery just fine. A good quality solar panel and charge controller will also charge your battery. They will both operate in tandem satisfactorily to charge the battery. There's no need to feed one into the other.
