Skunk, I agree with Blackhawk. It would be possible, but would require a lot of additional engineering, with dubious incremental benefits over existing materials, like alloy.
Carbon fiber is very strong in terms of its resistance to flex and impact, but not suited to all applications, as it is not resistant to abrasion. It can be formed, but only to a limited degree, meaning that the most sensible raw form would be to machine out the frame from a block.
Some parts could not be made of CF, such as the barrel, and hammer, which would need to be steel, for its inherent strength and resistance to abrasion. The slide also would need to be of a heavier material, to absorb the inertia of the recoil, or a such a strong spring would need to be used, but that would make the gun virtually impossible to cock, and/or disassemble for service.
Contact points where moving parts anchor to, or ride on, the frame, would need to be replaced with metal inserts again, due to the abrasion issue. Take a look at how a polymer gun like a Glock or Walther P99 is engineered, and you'll understand.
At the end, you'd be left with a very high priced gun that only has an incremental benefit of being cool-looking, but has no functional improvements over more affordable polymer, or popular alloys.
Just my two cents.