Can I put Jojoba Oil on my bird?

So, I have these 5 Zebra Finches (2 parents and 3 chicks) and they keep on picking in the littlest one because he is weak and molting. I am going to separate them into the mom the dad and the molting baby and in the other cage the two brothers. The two brothers completely took off all the feathers on the head and neck!!!!! It's so sad! Now I know Jojoba Oil grows hair ( I bought mine from Whole Foods so it's all natural), but can I put it on my bird?