Using your logic:
Girls are attracted to men with power and resources, therefore they are more likely to be attracted to young men who are likely to succeed in life.
Bullies are statistically more likely to come from disadvantaged/ poor backgrounds, more likely to struggle academically, more likely to lack social skills and have a defensive or low self esteem. Bullies are less likely to succeed at school.
All those are the reverse of what constitutes power. So no, girls are not attracted to bullies, if you're using that sort of pseudo-scientific logic.