Any front end impact can cause damage to the steering shafts and box. Even if that part wasn't directly impacted.
Noises and sensations of this type can be telescoped through the steering shafts and steering wheel.
I'd start by getting the front wheels safely in the air, run the engine and have someone slowly turn the wheel back and forth while you check the Underhood gearbox joints (rag joint) and shafts for any irregularities, be careful of hot parts, spinning parts, and turning assemblies from the steering gear.
If you don't find the culprit down there, then move under the dash. A mechanics stethoscope might help here to determine what area the noise is coming from. But at that point you'll need to disassemble the column.. I'd be looking at any bearings, or maybe a small piece knocked out of place interfering with another part.
In the off chance the clicking goes away when the wheels are off the ground and turning the steering wheel that would point me more towards a bearing or spline joint.