Yes, they might grow, although it would probably take four or five years before they fruit.
The main concern would be however that if the tree was not grafted onto a restricted rootstock, you will end up with a gigantic tree, particularly as cherries are vigourous growers and it is only recently that rootstocks such as Pixie have allowed people to have trees small enough for the average suburban garden.
Get a bare-rooted maiden on a pixie or colt rootstock in the autumn and fan-train it against a wall instead!
Ten x