You need to differentiate between bullying, and simply trying to get a person to either do their job or meet the required standard.
Whilst I have seen some absolute arseh0le check & trainers over the years, once the session & debrief was over everyone moved on. I cannot say have I ever seen anything that could be considered bullying.
The only examples I have seen of people who have made complaints about bullying were from people who were not achieving the required standard and had been given far more chances than they deserved. I had one manager dragged through hell on a charge of bullying, when really he should have sacked the individual for repeatedly failing to meet the standard long before instead of giving that person multiple second chances.
So before you start your own covert intelligence gathering consider if you put the extra effort into your own performance would the problem go away??
As for arseh0les, just accept they are a fact of life and move on.