I think so. Some people are brought up evil. Bad childhood experience, neglected by parents, abuse, influence on people around them, how their parents choose to raise them, etc. could make a person evil and they feel they need to punish others for what happened to them (it makes them feel better to see others in pain.) But, there is the occasional person who just likes torturing living things. I know this is fiction, but Michael Caine really says it in the Batman movie The Dark Knight. He says, "Some people just like to watch the world burn" which I totally agree with.
I think Hitler was a mix of both. He hated Jews (this is just part of the reason) because he wanted to be an artist. The art college he wanted to go to was mostly ran by Jews. Hitler felt like he needed revenge on them, he needed to punish innocent people because he couldn't have his dream. I also think he liked watching people die, try reading sections of Mein Kampf, I read it for school. It is extremely brilliant, but sick and evil.
As for the elementary bullies, I feel 99.% of those bullies are innocent children, the bad family experiences, neglected by family members, blah blah blah, that feel like they need someone to feel their pain (or worse pain) because it makes them feel good about themselves, like they aren't the only ones going through a hard time. i don't think these kids mean harm, I think it's a cry for help more than anything. The 1% of the other kids are the actual evil ones. The seriel killers, whatever.
An example for true evil is Charles Manson. Look at what he did in the late 60s. He had absolutely no reason for killing any of those people (well, having people kill for him) it was completely random, didn't know a single one of them. That to me is an even more worse evil,( this goes for Hitler, too) Not only do you have no reason for killing those people you didnt even personally know, but you had people do it for you. Hitler and Manson were phycological brainwashers (especially Hitler) they couldn't do the job themselves, so they needed to trick people into what they believed (Manson even had his followers believe he was Jesus.) to me, this is the worst of the worst, they are very sneaky and very well planned. They can't do the work themselves, so they have someone else do it for them. They have people be their puppets, little copies of themselves. Manson never even killed anyone, his followers did it all themselves. To me, the manipulators are cowards, but the worst. Manipulate people into doing things they can't do, whatever the reason. Could be it's easier for them to not get caught, they feel like they aren't to be fully blamed since other people helped, or they can't physically and/or emotionally do it themselves.
School/what I think.
Sorry I wrote so much, it kinda all just came to me and I felt it was a equally important haha :)