It will also not help much in lowering temps...
The whole idea of cooling is to move heat away from the CPU,blowing room temperature air onto the CPU cooler will not help with the cooler getting any cooler...
Guess it would depend, I can certainly see this helping to some degree if you are just on the edge of thermal throttling where air flow may be crap, I've seen this help systems in the past, and I've done it before myself with pretty good results, this wouldn't help much if at all with let's say a failed pump on aio or dried and cracked thermalpaste. Though again the fans inside the pc do also blow around ambient room temp air or hotter most likely, it's no different than throwing on a 120mm fan though most house hold fans move way more air.
Its not ideal, wouldn't hurt to try and I wouldn't do permanently, dust your pc out, and replace thermalpaste and if it's still quite warm, I'd look into purchasing a new cooler. But no it wont hurt anything to have a house hold fan blowing into the pc, just keep wires away from the blades