I have a 11 months old son about to be 1 on the 19th of this month can the mother of leave the stater or move out of state with the child without my permission

Yes, unless there is a court order to the contrary.

ANY question on law needs to include your general locale as laws vary by area.

Are you or were you married? Are you the legal father? Do you have a court order spelling out custody and/or visitation? Do you pay child support?

As you can see to give you specific answer we need a lot more information.