They exist, model C32, but:
A) They're twin stick, instead of having a single multi-function stick like a modern loader.
B) You could probably buy another C with the loader installed for the cost of buying a standalone loader, if you found one not on its tractor.
C) Cs, even super Cs, have front ends that were not engineered to handle a loader of any sort, they're draft machines. Don't expect to pick much, or push anything heavier than snow.
D) Wide front end is almost a requirement, most Cs are tricycles.