can i applay for for a green card and what are the chances?

You may be in the US under an I-20, but that just means that you are maintaining a nonimmigrant status. Most persons immigrate to the US through an employment, family relationships, asylum, or investment. The fact that you have been in the US for more than three years under an I-20 does not give you a leg up on future immigration. I suggest that you graduate with a bachelor's degree, obtain OPT, and during the year of OPT try to have yourself sponsored for a H-1B visa for persons of specialized knowledge by an organization. If the organization likes you, it may begin your sponsorship for the green card.Due to the limitations of the Lawyers.com Forums, Alan Lee, Esq.'s (the "Firm") participation in responding to questions posted herein does not constitute legal advice, nor legal representation of the person or entity posting a question. No Attorney/Client relationship is or shall be construed to be created hereby. The information provided herein by the Firm is general, and requires that the poster obtain specific legal advice from an attorney. The poster shall not rely upon the information provided herein as legal advice nor as the basis for making any decisions of legal consequence.