Originally Posted by CaptApollo08:
“No, if you watch the episode, Donna uses a stethoscope and clearly states that Jenny has two hearts. At the end, when she has seemingly been killed she wakes up, expelling the same glowing energy from her mouth as the Doctor has done after his last two regenerations. Doctor 10 replaced his severed hand just after his regeneration, pointing out that he was within his regeneration cycle. Since Jenny was only a few hours old, many people have interpreted that her body repaired itself in a similar fashion and that she now has the ability to regenerate.
Capt Apollo”
She expelled glowing energy alright, but it was ambiguous as there was definitely an element of the terraforming energy in there.
The Doctor made the point that it takes more than just having two hearts to be a Time Lord. It may be that he was just referring to the education and cultural history, or it may that he's referring to the augmented DNA that was also present in Melody - perhaps this didn't transfer in the cloning process that created Jenny.
Either way, if it's this extra DNA that's necessary for regeneration, then Jenny may or may not have the ability.