No, the pool is just giving your machine something to work on and gets the result. While the pool has hardware, the pool itself does not do the calculation. Even if the pool would do some calculations your machine should not be able to detect if any other machine makes calculation mistakes. That would be like me checking whether your CPU is fine just because I download data from you via bittorrent (or something else)
can error be mining software
Yes the software can be flawed, but most mining software out there is heavily used by many people. Those errors are most likely fixed in all current versions of miner software. Theoretically the software could be corrupted, but thats not likely. Its more likely that the software wouldnt run at all if it was corrupted.
hehe i take it you don't have knc machine then...we waited for at least 5 months for them to fix the cgminer in the FW to correct the flawed hw errors