Likely yes, though it is hard to gauge by how much. Some early industries would be hampered by free trade with Britain but countering that would be the availability of more and cheaper goods to consumers wishing to set up their own industrial enterprises and the fact that the BNA would likely focus on those industries where it could out compete or at least hold its own against Britain
For a long time, even into the early C20th for example iron ore was rarely worth exporting long distances which meant that industries to take advantage of it needed to be relatively close by. Same with coal. The BNA even within its initial confines and there is no guarantee it would remain in its 1770's shape would have access to considerable resources of the kind conducive to industrialisation. You are likely to see a different mix from the semi-autarkic United States though, more specialisation.