I doubt that, because of the disease factor. From what I remember of my high school history classes, the English and French were fairly closely matched in strength and fought each other for control of North America. The French did try to ally with the Huron confederacy, while the English traded with the natives but didn't get into serious negotiations until later. Their Alliance didn't help the Franco-Huron faction much, and though it wasn't mentioned I imagine that one factor would have been that pox can spread to one's allies more easily than people one is wary of.
Now, had Europeans had a germ theory of disease by then, maybe that dynamic could have turned out different...