In a nutshell, yes. Israel grew from Egyptian-settled Canaanite villages along the Mediterranean to become an Iron Age kingdom around 1200-1000 BCE. The various tribes are thought to have united when the region was subjected to Philistine invasion (around 1050 BCE). At this time they united under a common king and formed a national army. They then captured the city of Jerusalem and made it their capital. In the 9th and 8th centuries BCE it was a powerful local force, but fell to the Assyrians in 722 BCE. Its people were taken away as slaves, but never lost their connection to their holy land. Since that time Israel has been captured and recaptured and passed through many hands. In 1948 the modern State of Israel declared independence.
This depends on what time period you are talking about.
The actual country of Israel that now exists has never had any other name but Israel. That country was created in 1948 and has always had the same name that it does now.
Before Israel was created, the area that is now Israel had many different names. Right before it was made into Israel, for example, it was part of what was called the Palestine Mandate (under the League of Nations). Before that, the area was part of the Ottoman Empire.
If you go back into biblical times, the area that is now Israel was split (at times) into two kingdoms, Israel and Judaea or Judah. At other times the area was conquered by one of various regional powers like Babylon and Rome.
So as a modern country, Israel has always had the same name. Before that, there were many different names.
Has Israel always had the same name?
Similar informative details can be got from different academic sources. Those who know how to order an essay properly can rightly get information on a wide variety of topics from this site. In the ancient time, Israel was the only independent country in the region of Israel. It comprised of different territories with different names. However, Romans called it Palestine. After First World War, Jordan, Israel Gaza and the West Bank were together called as Palestine.