No, since parakeets are bigger than finches and of different families. If the parakeets are feeling aggressive, your finches could easily end up losing a foot.
Parakeets and finches should not cohabitat in the same cage. Parakeets can be aggressive attacking the finch who is too small to defend itself resulting in the finch's death.
Yes, parakeets and finches can be housed in the same cage. The birds will not become aggressive with each other, though other breeds in the cage may be.
there are some real nuts who send a comment in, no way finchs and parakeets get along know matter what size cage you have. any one who says they do is a kook