Unfortunately, the answer is no. The “fruit of a poisonous tree” doctrine that you reference comes from well-settled United States Supreme Court case law regarding the Fourth Amendment. The Fourth Amendment protects people from unreasonable searches and seizures of their “persons, houses, papers and effects.” The remedy for an unreasonable search and seizure is to have that evidence excluded at trial, as well as any evidence seized that was caused by the chain reaction of the unreasonable search and seizure (called the “exclusionary rule”).
You are missing a vital step, however. The Supreme Court has held that the Fourth Amendment only applies to state actors, and not to private ones. So if any police officer or anyone affiliated with the government rummaged through your bedroom without a warrant or probable cause, then the Fourth Amendment would potentially exclude any evidence they find that they wish to use at trial. However, if a private person rummaged through your house, person, papers or effects, the exclusionary rule would not apply to them because they are not state actors.
You may have a civil cause of action however, such as trespassing or perhaps maybe invasion of privacy. For that, I suggest you see an attorney to talk about your case and the specific details.