No picture, but nonetheless, no, that would not be consistent with a heater core leak. A heater core leak would probably show up in the passenger footwell. A coolant smell inside the cabin and a damp carpet are your usual clues with a heater core.
I would start by inspecting the weep hole at the bottom of your water pump. Use a mirror and a light. Look for a coolant trace/path down the water pump casting. It might also follow along the bottom edge of the lower radiator hose.