> Can't this student just text the prosecutors naked pictures of themselves and get them charged as sex offenders?

No. Criminal charges aren't things that happen automatically based on external facts (even if the proposed action includes facts which in some cases might be parallel to those that have supported charges against the recipients), they are things that human beings -- specifically, prosecutors -- initiate.

Doing the suggested act might result in criminal charges, but almost certainly those would be additional charges for the student, not charges against the prosecutors.

> Honestly I say if you're going to go down for some stupid law, might as well abuse the stupid laws in your favor.

The nature of criminal law is that there are a narrow category of people whose active participation is required for any use/abuse of it, stupid or not.