Шансы есть, так как весь мир видит что там твориться. Вот что пишет про предоставление беженства посольство США: An
applicant shall be found to be a refugee on the basis of past persecution if the applicant can establish that he or she has suffered persecution in the past in the applicant's country of nationality or, if stateless, in his or her country of last habitual residence, on account of race, religion, nationality, membership in a particular social group, or political opinion, and is unable or unwilling to return to, or avail himself or herself of the protection of, that country owing to such persecution. An applicant who has been found to have established such past persecution shall also be presumed to have a well-founded fear of persecution on the basis of the original claim.