Only if they are already Carbon applications, there never was a carbon for 68k.
classic 68k programs call trap instructions to get into the toolbox
68k CFM and PPC CFM applications call via "InterfaceLib" and other libraries.
So a 68k binary isn't going to give a damn about your CarbonLib it will just trap away and crash if there is no Mac ROM or emulator.
PPC CFM Carbon applications call the CFM CarbonLib
PPC Mach-o Carbon applications call a Mach-O CarbonLib
Code:
$ otool -L browserx
browserx:
/System/Library/Frameworks/Carbon.framework/Versions/A/Carbon (compatibility version 2.0.0, current version 122.0.0)
/usr/lib/libSystem.B.dylib (compatibility version 1.0.0, current version 88.1.12)
$ lipo -info /System/Library/Frameworks/Carbon.framework/Versions/Current/Carbon
Non-fat file: /System/Library/Frameworks/Carbon.framework/Versions/Current/Carbon is architecture: ppc
There is an architectural difference between CFM PPC and Mach-o PPC. Basically the Darwin Mach-o people stuffed up the PPC runtime model by trying to treat a RISC CPU as a CISC one. The PPC-CFM one is more correct because it originally used the AIX compiler tool set, so they did the calling conventions in a RISC efficient manner.
So in answer to your question, if you happen to have lying about a Carbon Application compiled for i386 then you could run it on any other i386 box if you implemented the CarbonLib and could load and runtime link Mach-o i386 modules.