sure you can. Anything uploaded to YTKids goes through 1 of 2 processes.
1. it's from a trusted provider, send it on through. Add a complaint mechanism that makes it fairly easy for a trusted provider to be removed from this list (DMCA for content, if you will).
2. it sits in a queue until a human looks at it. Prioritize videos from those who were recently removed from the trusted provider list as a way to dampen the harm from abusive reports.
Suddenly, it's a much smaller problem.