Theoretically - Yes. Practically - Not really.
Since the full frame camera is stopped down to f/2.2 compared to the APS-C camera at f/1.4, under the same lighting conditions the same amount of light is falling on both sensors. This would take away the most significant advantage that the full frame camera has: collecting more light when using the same f-number as used with the APS-C camera.
The entrance pupil of an 80mm lens at f/2.2 is 36.36mm. The entrance pupil of a 50mm lens at f/1.4 is slightly smaller at 35.7mm. The minor difference between the two is probably less than the difference between actual aperture and stated aperture of the two lenses in question. So to even be able to calculate the minute theoretical difference we would need to know the absolute measured apertures of each lens at the indicated settings, the absolute measured ISO sensitivities of each camera, and the absolute measured shutter speeds of each camera (compared to the set Tv).
We must then consider the relative resolutions of each sensor. We know the relationship in terms of overall size between each, but we don't know the pixel pitches of each, how much 'gap' there is between the pixels for each sensor, nor the overall resolution of each sensor. All of these factors would come into play, but just like the question of aperture, they are all probably so insignificant in their differences as to be negligible in terms of a detectable difference by an observer at standard viewing conditions.
How you choose to apply noise reduction will likely have a much greater effect than the small differences each system is natively capable of in terms of handling noise. And that is only in situations where the available light is low enough that the noise is an appreciable percentage of the signal generated by the limited light.