I can make anyone cry IRL. Just not online; not enough information. IRL I can see all of your fears and weaknesses. I hold on to the knowledge and almost never use it, but in two cases in my life, I've let go, and wow....yeah....NTs crying...
I don't think it takes that much insight to especially hurt people because our underlying fears tends to be shared. In the same way that public shaming works in most every case to elicit a response of humiliation, the same is true of other underlying fears. You can hurt anyone with a club, but it takes more nuanced tools to repair the damage from the clubbing. Hurting people is much easier than helping them.
I think any type is capable of hurting others if they want to badly enough. Empathy means understanding another person from their point of view. This information I suppose could make it easier to strike a central nerve, but it could also result in sharing the hurt of doing it.
I'm pretty sure I couldn't make anyone cry irl any more than anyone else could. I even have trouble disciplining when leading a group. I can't forcefully affect others without their consent. There is a wall between me and others I think, although I can make more of an impact one on one.
When I meet a new person, the first thing I do is try to figure them out. I need to know what they're capable of and what they aren't. It's my way of staying "safe" -- I know exactly what they could do to hurt me, so I navigate around those potential situations. A side effect is that I have this "power" over them -- I can pull their strings and they don't even know...
I do tend to be too self protective and withhold trust until I understand how another person operates. I never entirely conclude anything about others. Although I put effort into understanding the inner "logic" of how anyone thinks that I encounter. When they don't add up, I can obsess about it until I come up with a hypothesis that accounts for the conflicting information. But there is not anyone, including my family and intimate friends, for whom I hold any absolute conclusions about who they are. There are two reasons for this: first, at any snapshot in time an individual is deeply complex to the extent that it might not be possible for us to even know ourselves absolutely, and secondly, people are dynamic changing systems, so there is not a single conclusive definition that will stay in tact over time.
For me being an NF and analytical about the inner subjective worlds of others is the very quality that reasonably results in the need to withhold judgment on at least some level.