I believe it would. In fact I know it would be possible. Not sure how probable though. I do root my cuttings for dirt in my cloner, then plant them in dirt sometimes. They look just like yours, only smaller. It works great, never had one die or even look close. You just gently fill dry dirt around the roots then soak the soil until it runs through well, and don't water again until it's dry. A bit of anti-shock in the water might be good too. The only problem I see with doing that with so many roots is that it will likely create one flat layer of roots instead of a nice network branching everywhere. I don't see how you could get the roots to branch out, but perhaps you could divide them into 4 groups or something. I imagine that would be better than one big lump. Why don't you want to just put her in a bigger bucket? No space?
Perlite issue?