You may have a claim against your neighbor for malicious prosecution and/or abuse of process for her misuse of the legal system, but whether the case is truly viable depends on whether she has any assets with which to compensate you. Since they rent their apartment rather than owning it, it sounds like they may not have significant assets, which would make it unlikely that a lawsuit against her would be worthwhile. On the other hand, you may also be able to talk to the police about bringing charges against her for criminal harassment if she has engaged in a series of acts (two or more) that have been designed to harass you and have caused you harm. This may be worth pursuing for you--it won't necessarily get you financial compensation, but it could help get her to at least leave you alone, and it's free. On the other hand, any legal action can be time-consuming and emotionally draining for you, and can sometimes escalate matters. If you intend to keep living in this building with them there, these are all important things to consider in whatever action you decide to take. I hope this helps.
You bet you can. It sounds as you have have a case under the legal theory of "abuse of process" and "malicious prosecution" both areas that I practice on a regular basis. Please feel free to call my office and I will be happy to speak to you about this situation.