The wiring would need to include a neutral wire to satisfy nec code requirements. Installing electrical wiring from a switch for a light switch for a project like this electrical wiring is typically installed from the ceiling box to the wall switch location as you have stated.
Wiring A Light Switch Electrical Online
Wiring a light fixture to a switch. At the light fixture box the black wire is spliced with the black wire running to the switch. More about wiring a switch. Grab your light fixture and twist the fixtures ground wire in with the other ground wires and secure them with a wire connector or wire nut. Take the white wire that is coming from the circuit the original line and the white wire from the fixture twist them together and tighten a wire nut over them. The source neutral wire is spliced to the neutral on the receptacle half of the combo device and to the white cable wire running to the light. At the switch the black wire is connected to the new switch.
You can wire the new wall light fixture into the existing light and have a single switch control both lights. If youre only connecting a single light fixture to a switch youll have one live cable with a black white and bare ground wire in the fixture box. How to wire an additional light to an existing light switch. Since the existing light is already connected to the switch and you are not adding a light switch most of the wiring you need will be present in the wall or ceiling. Connect the black wire to the black wire on the light the white wire to the white one on the light and the bare one to the ground wire or the ground screw. Two wire cable runs from the combo to the light fixture and the switch output is connected to the black wire running to the fixture hot terminal.
Back at the source the neutral wire is spliced to the white wire running to the light and to a pigtail connecting back to the receptacle neutral terminal. At the light it connects to the neutral terminal.