It may be possible for you to apply for asylum, but the asylum rules are very strict and very complicated. Asylum is not something that you should ever apply for on your own. Please take your case to an attorney experienced in asylum law. Asylum should never be used as a way to get work authorization. Done poorly, it is a sure means for removal. Done improperly, it can mean a lifetime ban from the United States. Seek competent advice.
The above is not legal advice. It is general information. I only give legal advice to those who have a retainer agreement with me. You may also seek further information on my website - http://immigrationlawyernewhavenct.com
The fact that you have refugee status in Jordan will be a major stumbling block for you.
You should retain an experienced immigration lawyer to review all the facts, advise you, and handle the case. You can find one through http://www.ailalawyer.com.
J Charles Ferrari Eng & Nishimura 213.622.2255 The statement above is general in nature and does not constitute legal advice, as not all the facts are known. You should retain an attorney to review all the facts specific to your case in order to receive advise specific to your case. The statement above does not create an attorney/client relationship. Answers on Avvo can only be general ones, as specific answers would require knowledge of all the facts. As such, they may or may not apply to the question.
Based on your description, no. You can rely on this answer which is very cursory or you can consult with an immigraiton attorney locally, provide all the facts and see, maybe I am wrong, after all. Good luck.
NYC EXPERIENCED IMMIGRATION ATTORNEYS www.myattorneyusa.com; email: firstname.lastname@example.org; Phone: (866) 456-8654; Fax: 212-964-0440; Cell: 212-202-0325. The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter.