Aren't chip and putt different from par 3 courses? I think of pitch and putt as having relatively short holes, less than 60-70 yards.
A par 3 course or short course could have typical length par 3s that you would see on a "championship" course.
So the two terms are not synonymous.
For example the Nest at Cabot Links, which was mentioned by someone else, has 10 holes that range from 95 yards to 230 yards.