No. One reason is the houses of the natal chart.
Very simply, the sign describes how a planet tends to express itself, while the house shows the area of life where its themes become especially noticeable. Relationships, money, home, career, learning, creativity - different houses are associated with different areas of experience.
So the same Mars sign can be built into completely different life stories.
And this is why astrologers keep asking for your birth time. A date alone is not enough to calculate houses - you also need the place and a reasonably accurate time of birth.
There is another detail: astrology uses several different house systems. That means two calculations may differ slightly depending on the system being used, and a proper interpretation should know which one it is working with.
That is why the request “I’m a Libra, tell me everything about myself” can only produce a very general picture.
The Sun sign is one coordinate. A natal chart is an entire coordinate system.
The stars speak. The choice is yours.