I believe it is do-able because some have done it, but it usually is a looong fight. At least it has been for me.
I did get a letter from them saying to update my medical files in march, and that they would be contacting me for the second ALJ hearing. Havent heard anything so far, and on pins and needles waiting. Im kinda getting used to the wait though, as have been waiting nearly 3 1/2 years.
I would say go for it, the sooner the better