My mom went to the US with a H1b visa, and on July 1992 My whole family went to the US embassy consulate for an interview and I was the only one been refused a visa because I exceeded the required age for a dependent. Now my mom is already a US citizen so as my brother and sister. Now I'm already 39 years old. Is it possible for my mom to petition me. because my mom is already 69 years old.

Yes, she can file I-130 for you but wait list will be very long time depending on what country you re from. It would be between 12-24 years.

Thanks for the reply! This will be a great help.