What kind of transponder chip?
A mode C transponder for flight radar? A transponder for a telecommunications satellite? These devices are quite different from one another, despite having the same name.
But regardless, in order to build any kind of chip, you probably need access to a silicon fab facility, and you'll probably need the right computer technology to produce the chip design in a format that the fab facility can handle. You also need a bit of specialized knowledge in how to design the circuitry, and how to implement the design in silicon. This is not a trivial task.
Have I completely misunderstood the question?