I was brought to the US when I was 8 years old and deported when I was 22 after my parents political asylum case was denied and decided to overstay. Now (2 years later) I want to get married with my girlfriend who is a US citizen. Is it possible to get a pardon?
Note that you state you were deported, so IF you are still not in the US, not in the Bronx, then you are looking at the BARS to admission, and consent to reapply... (You can add into your arguments to reapply that you were brought to the US at age 8 by parents seeking asylum, who were unsuccessful, so that is a FACTOR on the situation).
According to the Code of Federal Regulations, (USCIS.gov website-Laws) You are looking at a 5 year bar (20 for aggravated felony convicts). Given two years IF outside the US, it appears that 3 years would then lead to a clean slate unless one has the aggravated felony conviction in which case 20 years... (Note that under this section, you can apply for PERMISSION to REAPPLY for READMISSION to a consular officer).
8 cfr
§ Sec. 212.2 Consent to reapply for admission after deportation, removal or departure at Government expense.
(a) Evidence. Any alien who has been deported or removed from the United States is inadmissible to the United States unless the alien has remained outside of the United States for five consecutive years since the date of deportation or removal. If the alien has been convicted of an aggravated felony, he or she must remain outside of the United States for twenty consecutive years from the deportation date before he or she is eligible to re-enter the United States. Any alien who has been deported or removed f rom the United States and is applying for a visa, admission to the United States, or adjustment of status, must present proof that he or she has remained outside of the United States for the time period required for re-entry after deportation or removal. The examining consular or immigration officer must be satisfied that since the alien's deportation or removal, the alien has remained outside the United States for more than five consecutive years, or twenty consecutive years in the case of an alien convicted of an aggravated felony as defined in section 101(a)(43) of the Act. Any alien who does not satisfactorily present proof of absence from the United States for more than five consecutive years, or twenty consecutive years in the case of an alien convicted of an aggravated felony, to the consular or immigration officer, and any alien who is seeking to enter the United States prior to the completion of the requisite five-or twenty-year absence, must apply for permission to reapply for admission to the United States as provided under this part. A temporary stay in the United States under section 212(d)(3) of the Act does not interrupt the five or twenty consecutive year absence requirement.
You can wait three more years from your date of departure, and barring any OTHER bars or immigration, you should have an "approvable" petition. Of course, you must be forthright about all the past history and the five year bar, and that you waited it out.
I have no crystal ball to direct you if you file prior to your 5 YEAR BAR, as that would require the advance permission TO APPLY. Therefore, one would want to be armed with an arsenal of documents and a solid foundation for the long overstay. You did mention the entry as a minor that was beyond your control. You could TRY this, as the rejection would put you where you are, which is waiting 3 more years to be able to legally visit/immigration to the US (any circumstance) due to the BAR. So, if you try it, have your "ducks" (evidence) lined up to support WHY you should be allowed to reapply prior to waiting out the remainder of the BAR.
The outcome would depend on so many variables, who the consular officer is, where he/she is, your situation, how you present it, the evidence, and so on... this makes it not only unethical but impossible to be able to predict or promise an outcome! Good Luck.