No, that's not how Linux started. No fork from Unix, if that's the comparison you were making. Linux started as a completely independent project, a multi-tasking kernel printing AAA...BBB, and, as it progressed, working towards being basically Unix compatible. But it was not a fork from anything.
Yes, my comment is poorly phrased, but the spirit is valid. Linux could not have come from Unix as Unix OSes were closed source at the time. It was not a fork. However, Linux was intended to be an open-source variant to Unix from inception. Torvalds aimed for POSIX and ABI compatibility from the start, it was one of his stated goals for developing the kernel.