No, you cannot leave the state on probation without permission from your probation officer.
Probation officers will let you leave the state on probation for work and emergencies.
They likely will not allow you to leave the state on probation for vacation or non-emergencies.
Most states confine you to “federal districts” as conditions of your probation.
For some states, the federal district is the entire state.
Other states, like Georgia, have North, South, and Middle districts.
You cannot leave your federal district without permission when you’re on probation.
Travel outside of the federal district is a privilege and not automatically granted.
But you are free to travel within these federal districts.
Non-essential travel outside of your state (or district) is prohibited for the first 60 days.