General rule, hard plastic materials, which would include micarta, G10, and CF, will all chip if struck hard enough - especially near an edge. FRN, being softer will dent under a similar blow. The hard ones would also crack under circumstances that would only cause FRN to bend. But where knife handles are concerned, you are more likely to bend an FRN handle sufficiently to cause permanent damage to the knife than bend a G10 or CF handle far enough to induce cracking.
Some personal observations...
Micarta resists scratching amazingly well. The burgundy Jester that has been living among my keys for about two and a half years, looks about the same as the day it got placed on my key ring. The "downside" is that a thicker slab is required. This will be a negative to those looking for a slim knife, and a positive to those who favor a fatter handle. The other "problem" is that it is often used without liners, and does not hold screws well. G10 and CF are no better at holding screws, but are normally used with a liner or liners.
I am not a fan of G10 - I think it is the least attractive of the plastic handle materials. In addition, people seem to complain that, on the one hand, the rough texture damages their pockets, and on the other that the surface tends to wear smooth from rubbing while carried. But there are plenty who sing its praises.
Carbon fiber is expensive and very light weight. It is very attractive if applied "shiny side out" but even the smallest chips detract from that look, and it does chip fairly easily around the edges and around pin and screws. The shiny side also offers no more traction than metal. Applied rough side out, it's just another butt-ugly plastic, albeit a very light one.
FRN suffers from the "logic" that inexpensive = cheap = inferior. Me, I'd rather have a dollar cup of coffee from the deli across the street than a Starbucks banana-mint-mocha-latte - but that's just me. Image issues aside, it's a darn fine material and can be molded into all manner of complex shapes and patterns.
Personally, for a knife the is going to get used as and treated like a tool, I'll take FRN, knives used that way sometimes get lost or damaged. When I want something "more" I gravitate towards models with end bolsters and natural material scales.