Would it be possible for the son of a refugee travel back to his home country?

I am a Colombian citizen of 22 years of age, and I was brought to the US when I was only 14. Soon after my parents arrived to this country with us, their children, my father petitioned/applied for political asylum. In our case, he is the main victim, and pretty much the whole case refers to him. We, the whole family recently were granted political asylum and received the status of refugees ... I miss my home country to death, and was wondering if it would be possible for my to travel back to Colombia under the status of refugee ... I'm just a beneficiary we could say.