not really.

it's likely that the systems are using a pseudo-random number generator algorithm which needs a seed to begin: the time since turning the console on may affect the seeding process, but unless you have documentation on how they're getting the numbers you're grasping at straws.

on the other hand, if they use an algorithm and use the current system temperature as a seed value somehow, you may be right. wiki seems to think temperature, console age, power source, etc., may have some effect on post-processing for the random numbers but gives no source.

but to be perfectly honest with you i think you're noticing this behavior because you've just begun to play and the random number turned out in your favor, whereas you hadn't had that luck after playing for a while previously. i'm not sure games have situations where the differences in seeds and temperature would make a huge difference in results.