NO, THIS WOULD BE SO EPIC! Like, imagine the doctor begins to regenerate while he's in the middle of a fight, and when he starts shooting glowy stuff out of his entire body, he gets split right down the middle by something. Since he's still in lightning-bug mode, the two halves regenerate separately into these two, and shenanigans happen.
And then before the next regeneration Fred dies and while George is crying he holds Fred close to him. And then George starts regenerating and Fred's little bit of energy joins in and George says 'at least we can be together again'
WAIT HOLD THE FUCK UP!
(Touches hair) Finally a ginger!!! (Looks at twin) DOUBLE GINGER!