Yeah you could wrap all the piano black and silver trims easily. This has been done by a lot of 14' members including myself. Just need to find the right texture/color for whatever you want it to be wrapped in.
You can wrap the vent trims on the right and left side, the silver piece under the center vents, the door handle trim pieces, and even the piano black pieces on the shifter. Just gotta know how to take those apart though.
Plus there's a thread on how to do this too.
Thread with peoples results of such method: http://mazda3revolution.com/forums/...v-how-guides/75906-interior-trim-removal.html pages 2,4,6 is what you guys will be interested in.
Also, for the OP there was a custom website that made trim overlays for the interior of our cars back in the early days of the '14. They made wood to carbon textures at a pretty good quality but it was expensive since it was custom and it would replace almost every trim piece in the interior. A member on here actual purchased a set in some kind of wood texture if I remember correctly. BUT this member has been absent from the forum for a LONG time. @rvoll
Edit: LOL after looking around I found it. The company is called LuxWood Trim. They don't make pieces for the door handle trims and vents on the right/left though sadly.
Edit: Doesn't seem like they sell anymore but maybe you can call/email since they still list the products.
Link: http://luxwoodtrim.com/en/products/search/#makeNiceName[]=mazda&year=2014&interior=1