Yes, such a phone is called a dual mode satellite phone. You can switch between the GSM and sat modes when needed. Not every satellite phone network has released dual mode satellite phones. Those which have include Thuraya, Globalstar and Terrestar.
You can find in depth reviews of sat phone accessories and providers on the Satellite Phone FAQ website. Find out more about various satellite phone providers:
Other Frequently Asked Questions
- What is the difference between a cell phone and a satellite phone?
- Why are satellite phones so big?
- Can I use a satellite phone inside a car?
- Which satellite phone networks offer global coverage?
- When will the new Globalstar satellite phone network be active?
Check the full list of questions on the FAQ page.