No. You can practice in all 50 states - however you are going to have a very hard time in Ohio, Michigan, West Virginia, Pennsylvannia, and Florida.
In these states, the AOA is very strong. Unless you are able to aquire Resolution 42 by the licensing agency, you will not be able to practice at any osteopathic hospital or institution.
You will be effectively exhiled to the allopathic world of medicine in these five states should you decide to pursue an AGCME residency without an AOA TRI or select an AOA residency.
Besides those 5 states you can do as you please. Unfortunately, there are a lot of AOA residencies and hospitals in those 5 states combined. Furthermore, if you pursue an AGCME residency, you cannot become a PD or have any affective voice within the AOA.