Not necessarily. If an immigration judge orders you deported, you have 30 days from the date of the decision to file an appeal with the Board of immigration Appeals (BIA). This means that you are challenging the decision that the immigration judge made and if the Board agrees with you, your immigration case is not over. You have a right to remain in the United States while the appeal is pending.
If the Board renders an unfavorable decision, this could be the end of your immigration case. When the Board agrees with the immigration judge, the decision becomes final and you have a deportation order against you. Unless you have a new legal basis upon which to remain in the country, you should start preparing for departure.
If you are not in custody, Immigration and Customs Enforcement (ICE) will sometimes send a “Bag and Baggage” letter, letting you know the date, time and location to report for your deportation and how much luggage you can bring. Sometimes, there is no letter and you are taken by surprise.
If you are unable to travel due to illness or another very good reason, you can apply for a “stay of the removal order” which will allow you more time in the U.S., if the application is granted.