Could a 3 yr old child get in trouble on purpose because she likes the negative attention?

Sometimes kids act out when they aren't getting enough attention, so then they are getting attention. Negative attention but it is attention. It doesn't mean anyone is doing anything wrong with her, but it would be useful to give her more attention. Just say hi, chat with her, sit down with her, play with her, etc. And when she does something good or nice, even if its just little, give her positive attention for it. Like "Thankyou, mommy really appreciates that" or "that was so nice of you to do for so and so because..." explain to her why what she did was good but make your explanation short because she will lose attention span.