Yes.

During the time of the Apollo project, from 1964 to 1969, the fastest computer of the world was CDC 6600, which was made with discrete transistors (and which greatly annoyed IBM, because a much smaller company had been able to make computers faster than theirs; the main designers of CDC 6600 had been Jim Thornton and Seymour Cray, who later became well known for the Cray supercomputers).

Integrated circuits became ubiquitous only during the late sixties.