I don't believe so.
I have a Stinger scroll fan blowing air across the processor in addition to the processor fan/heat sink, as well as having a floor standing fan blowing cool air into the area.
The stinger scroll fan moves air at 54 Cubic Ft. Per Min.
Using speedfan, I could see my core temps at 52-60 deg. c....warm.
Swapped to a celeron....same core temps....never run into the issue again.