Can I have my 2 felony drug possession charges erased from my record?

Potentially you can have your felony convictions "expunged" from your criminal record. An expungement is a proceeding where a petition is filed with the court usually by an experienced criminal defense lawyer five or six years after his or her client has been convicted of a crime.

Not all "expungement" requests are granted. The court looks to see what crime is sought to be "expunged", how long ago the conviction happened, what the person who was convicted has done since, and the reasons for the "expungement". If the "expungement" is granted, the conviction is erased from one's criminal record.

I recommend that you consult with a criminal defense attorney to see if an "expungement" might be worth looking into.